The greatest common factor of two one digit numbers is 1, and the least common multiple is 72

The greatest common factor of two one digit numbers is 1, and the least common multiple is 72

The greatest common factor of two one digit numbers is 1 and the least common multiple is 72. These two numbers are 8 and 9 respectively

1. The greatest common factor of two three digit numbers is 6, and the least common multiple is 2772. What are the two numbers?
2. Xiaozhang's telephone number is seven digits, which is exactly the product of several consecutive prime numbers. The last four digits of this product are ten of the first three digits. What's Xiaozhang's telephone number? (I calculated 9699690) I don't know, right

1.
2772=2²×3²×7×11
6=2×3
therefore
The two numbers are:
2×3²×7=126
And 2 & # 178; × 3 × 11 = 132
two
This number is abcabc0
And abcabc must be a multiple of 7,11,13
therefore
And this number is a multiple of 10, so there must be two or five prime numbers
and
2×3×5×7×11×13=30030
2×3×5×7×11×13×17=510510
2×3×5×7×11×13×17×19=9699690
therefore
This number is 9699690
You're right.

Three three digit numbers. Their greatest common factor is 26 and their least common multiple is 10100. What are the three numbers
Wrong. It's three three digit numbers. Their greatest common factor is 26 and their least common multiple is 10010. What are the three scores?

Sweet Princess 358 classmate!
Because they have a common factor of 26, we can set three numbers as 26a, 26b and 26c;
The least common multiple is 26abc = 10010
abc=385
By decomposing 385 into prime factor, we get 5x7x11;
So the three numbers are 130182286
I hope it can help you. If you don't understand, you can ask me,

Write two one digit numbers of common factor 1______ And______ The least common multiple of these two numbers is______ ．

For example: 2 and 3, the least common multiple of these two numbers is 2 × 3 = 6, so the answer is: 2, 3, 6

There are three three digit numbers. Their greatest common factor is 26 and the least common multiple is 10010. What are the three numbers?

10010 / 26 = 385
385=1×5×7×11
These three numbers can be
①
5×26=130
7×26=182
11×26=286

On the least common multiple in number theory
Prove: [a, B, C] (a, b) (B, c) (C, a) = ABC (a, B, c), where (a, b) is the greatest common divisor and [a, b] is the least common multiple
a. B and C are all positive integers

(a,b)(b,c)(c,a)
=(ab,ac,b²,bc)(c,a)
=(abc,a²b,ac²,a²c,b²c,b²a,bc²,abc,abc)
=(ab(c,a,b),ac(b,c,a),bc(a,b,c))
=(a,b,c)(ab,bc,ca)
Just prove:
abc=[a,b,c](ab,bc,ca)
Because:
abc
=[a,b](a,b)c
=[[a,b],c]([a,b],c)(a,b)
=[a,b,c]([a,b](a,b),c(a,b))
=[a,b,c](ab,bc,ca)

What are the two groups of numbers with the greatest common factor of 1 and the least common multiple of 28?
There is still one group missing

Multiple relation: 1,28
Non multiple relation: 4,7

The greatest common factor of a and B is 4, and the least common multiple is 252. One of them is 28. What's the other number?

36

The greatest common factor of a and B is 1, and their least common multiple is 1

The greatest common factor of a and B is 1, and their least common multiple is a × B

The sum of the greatest common factor and the least common multiple of a number equals 62. What is the number?

In two or more numbers, if they have the same factor (except 1), then these factors are called their common factor. Any non-zero natural number has a common factor 1. And the largest of these common factors is called the greatest common factor of these positive integers
The paper will ask you to find the greatest common factor of some two numbers
Example:
The greatest common factor of 12 and 18
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The common factors of 12 and 18 are: 1, 2, 3, 6, and the maximum number is 6, the maximum common factor is 6!
Least common multiple: the common multiple of two or more numbers is called the common multiple of these numbers, and the smallest one is called the least common multiple of these numbers
For example, find the least common multiple of 45 and 30
45=3*3*5
30=2*3*5
The different prime factors are 2, 3 and 5.3, which are both of them. Because 45 has two 3's and 30 has only one 3's, the least common multiple is multiplied by two 3's
The least common multiple is equal to 2 * 3 * 3 * 5 = 90
Another example is to calculate the least common multiple of 36 and 270
36=2*2*3*3
270=2*3*3*3*5
The different prime factor is 5.2, which is more than two in 36, so it is multiplied twice; 3, which is more than 270, is three, so it is multiplied three times
The least common multiple is equal to 2 * 2 * 3 * 3 * 5 = 540
Analysis: both the least common factor and the least common multiple need at least two numbers, while one number itself does not have the greatest common factor and the least common multiple
Conclusion: no solution!