Least Common Multiple of 76, 12, 74, 152

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 76, 12, 74, 152 i.e. 16872 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 12, 74, 152 is 16872.

LCM(76, 12, 74, 152) = 16872

LCM of 76, 12, 74, 152

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

LCM of:

Least Common Multiple of 76,12,74,152

Least Common Multiple (LCM) of 76,12,74,152 is 16872

2 76, 12, 74, 152
2 38, 6, 37, 76
19 19, 3, 37, 38
1, 3, 37, 2

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 3 x 37 x 2 = 16872

Least Common Multiple of 76,12,74,152 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 76,12,74,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,12,74,152) = 2

common factors(in case of two or more numbers have common factors) = 304

GCF(76,12,74,152) x common factors =2 x 304 = 608

LCM(76,12,74,152) = ( 76 × 12 × 74 × 152 ) / 608

LCM(76,12,74,152) = 10258176 / 608

LCM(76,12,74,152) = 16872

∴ Least Common Multiple of 76,12,74,152 is 16872

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 76, 12, 74, 152

1. What is the LCM of 76, 12, 74, 152?

Answer: LCM of 76, 12, 74, 152 is 16872.

2. What are the Factors of 16872?

Answer: Factors of 16872 are . There are integers that are factors of 16872

3. How to Find the LCM of 76, 12, 74, 152 ?

Least Common Multiple of 76, 12, 74, 152.

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(76, 12, 74, 152) = 2 x 2 x 2 x 3 x 19 x 37 = 16872.