Least Common Multiple of 88, 75, 22, 405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 88, 75, 22, 405 i.e. 178200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 88, 75, 22, 405 is 178200.

LCM(88, 75, 22, 405) = 178200

LCM of 88, 75, 22, 405

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 88,75,22,405

Least Common Multiple (LCM) of 88,75,22,405 is 178200

2 88, 75, 22, 405
3 44, 75, 11, 405
5 44, 25, 11, 135
11 44, 5, 11, 27
4, 5, 1, 27

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 4 x 5 x 1 x 27 = 178200

Least Common Multiple of 88,75,22,405 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,75,22,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,75,22,405) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(88,75,22,405) x common factors =1 x 330 = 330

LCM(88,75,22,405) = ( 88 × 75 × 22 × 405 ) / 330

LCM(88,75,22,405) = 58806000 / 330

LCM(88,75,22,405) = 178200

∴ Least Common Multiple of 88,75,22,405 is 178200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 88, 75, 22, 405

1. What is the LCM of 88, 75, 22, 405?

Answer: LCM of 88, 75, 22, 405 is 178200.

2. What are the Factors of 178200?

Answer: Factors of 178200 are . There are integers that are factors of 178200

3. How to Find the LCM of 88, 75, 22, 405 ?

Least Common Multiple of 88, 75, 22, 405.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(88, 75, 22, 405) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11 = 178200.