LCM of 80, 85 and 90
2026-02-28 11:56 Diff

In this method, we will be dividing the given numbers with the common prime factors until all numbers are reduced to 1. Let us look at this step by step and make it easy for the children to learn it.


Step 1: Arrange the number in a sequence, divisors, and the numbers are on the left and right sides respectively.


Step 2: For finding the divisor, it is always the smallest common prime factor. Here, the smallest common prime factor is 2. Dividing 80, 85, and 90 by 2. The results are 40, 85, and 45. 


Step 3: As 40 is divisible by 2, again the divisor is 2. Dividing 40, 85, and 45 by 2. Now the remainder is 20, 85, and 45.


Step 4: Continue dividing the numbers with the smallest prime number until all numbers are reduced to 1.

The divisors are 2, 2, 2, 2, 3, 3, 5, 17. LCM of 80, 85, and 90 is the product of divisors.


Hence, the LCM of (80, 85, and 90) = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 = 12240