Least Common Multiple of 60, 60, 60, 249

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, 60, 60, 249 i.e. 4980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 60, 60, 249 is 4980.

LCM(60, 60, 60, 249) = 4980

LCM of 60, 60, 60, 249

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

LCM of:

Least Common Multiple of 60,60,60,249

Least Common Multiple (LCM) of 60,60,60,249 is 4980

2 60, 60, 60, 249
2 30, 30, 30, 249
3 15, 15, 15, 249
5 5, 5, 5, 83
1, 1, 1, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 1 x 83 = 4980

Least Common Multiple of 60,60,60,249 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 60,60,60,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,60,60,249) = 3

common factors(in case of two or more numbers have common factors) = 3600

GCF(60,60,60,249) x common factors =3 x 3600 = 10800

LCM(60,60,60,249) = ( 60 × 60 × 60 × 249 ) / 10800

LCM(60,60,60,249) = 53784000 / 10800

LCM(60,60,60,249) = 4980

∴ Least Common Multiple of 60,60,60,249 is 4980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 60, 60, 249

1. What is the LCM of 60, 60, 60, 249?

Answer: LCM of 60, 60, 60, 249 is 4980.

2. What are the Factors of 4980?

Answer: Factors of 4980 are . There are integers that are factors of 4980

3. How to Find the LCM of 60, 60, 60, 249 ?

Least Common Multiple of 60, 60, 60, 249.

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, 60, 60, 249) = 2 x 2 x 3 x 5 x 83 = 4980.