Least Common Multiple of 60, 36, 76, 912

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 60, 36, 76, 912 i.e. 13680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 36, 76, 912 is 13680.

LCM(60, 36, 76, 912) = 13680

LCM of 60, 36, 76, 912

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

LCM of:

Least Common Multiple of 60,36,76,912

Least Common Multiple (LCM) of 60,36,76,912 is 13680

2 60, 36, 76, 912
2 30, 18, 38, 456
3 15, 9, 19, 228
19 5, 3, 19, 76
5, 3, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 5 x 3 x 1 x 4 = 13680

Least Common Multiple of 60,36,76,912 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 60,36,76,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,36,76,912) = 4

common factors(in case of two or more numbers have common factors) = 2736

GCF(60,36,76,912) x common factors =4 x 2736 = 10944

LCM(60,36,76,912) = ( 60 × 36 × 76 × 912 ) / 10944

LCM(60,36,76,912) = 149713920 / 10944

LCM(60,36,76,912) = 13680

∴ Least Common Multiple of 60,36,76,912 is 13680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 36, 76, 912

1. What is the LCM of 60, 36, 76, 912?

Answer: LCM of 60, 36, 76, 912 is 13680.

2. What are the Factors of 13680?

Answer: Factors of 13680 are . There are integers that are factors of 13680

3. How to Find the LCM of 60, 36, 76, 912 ?

Least Common Multiple of 60, 36, 76, 912.

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(60, 36, 76, 912) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 13680.