How to find the least common multiple by short division For example, 3 and 5, use the formula!

How to find the least common multiple by short division For example, 3 and 5, use the formula!


For example, 135 and 60
5| 135 60
--------------
3| 27 12
----------
9 4
Least common multiple
5x3x9x4=540



How to find the least common multiple by short division


Two numbers are neither coprime relations nor multiple relations. First, we use the common prime factors of the two numbers to remove them continuously (generally starting from the smallest) until the quotient is coprime. Then we multiply all divisors and the last two quotients



How to find the least common multiple of 20 15 30?
Using short division


5 |_ 20___ 15___ 30__
3 |__ 4____ 3____ 6__
2 |__ 4____ 1____ 2__
2 1 1
Therefore, the least common multiple of 20 15 30 is 5 × 3 × 2 × 2 × 1 × 1 = 60