Least Common Multiple of 60, 76, 84, 646

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, 76, 84, 646 i.e. 135660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 76, 84, 646 is 135660.

LCM(60, 76, 84, 646) = 135660

LCM of 60, 76, 84, 646

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

LCM of:

Least Common Multiple of 60,76,84,646

Least Common Multiple (LCM) of 60,76,84,646 is 135660

2 60, 76, 84, 646
2 30, 38, 42, 323
3 15, 19, 21, 323
19 5, 19, 7, 323
5, 1, 7, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 5 x 1 x 7 x 17 = 135660

Least Common Multiple of 60,76,84,646 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 60,76,84,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,76,84,646) = 2

common factors(in case of two or more numbers have common factors) = 912

GCF(60,76,84,646) x common factors =2 x 912 = 1824

LCM(60,76,84,646) = ( 60 × 76 × 84 × 646 ) / 1824

LCM(60,76,84,646) = 247443840 / 1824

LCM(60,76,84,646) = 135660

∴ Least Common Multiple of 60,76,84,646 is 135660

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 76, 84, 646

1. What is the LCM of 60, 76, 84, 646?

Answer: LCM of 60, 76, 84, 646 is 135660.

2. What are the Factors of 135660?

Answer: Factors of 135660 are . There are integers that are factors of 135660

3. How to Find the LCM of 60, 76, 84, 646 ?

Least Common Multiple of 60, 76, 84, 646.

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, 76, 84, 646) = 2 x 2 x 3 x 5 x 7 x 17 x 19 = 135660.