Least Common Multiple of 57, 39, 66, 462

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 57, 39, 66, 462 i.e. 114114 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 39, 66, 462 is 114114.

LCM(57, 39, 66, 462) = 114114

LCM of 57, 39, 66, 462

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

LCM of:

Least Common Multiple of 57,39,66,462

Least Common Multiple (LCM) of 57,39,66,462 is 114114

2 57, 39, 66, 462
3 57, 39, 33, 231
11 19, 13, 11, 77
19, 13, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 19 x 13 x 1 x 7 = 114114

Least Common Multiple of 57,39,66,462 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 57,39,66,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,39,66,462) = 3

common factors(in case of two or more numbers have common factors) = 198

GCF(57,39,66,462) x common factors =3 x 198 = 594

LCM(57,39,66,462) = ( 57 × 39 × 66 × 462 ) / 594

LCM(57,39,66,462) = 67783716 / 594

LCM(57,39,66,462) = 114114

∴ Least Common Multiple of 57,39,66,462 is 114114

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 57, 39, 66, 462

1. What is the LCM of 57, 39, 66, 462?

Answer: LCM of 57, 39, 66, 462 is 114114.

2. What are the Factors of 114114?

Answer: Factors of 114114 are . There are integers that are factors of 114114

3. How to Find the LCM of 57, 39, 66, 462 ?

Least Common Multiple of 57, 39, 66, 462.

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(57, 39, 66, 462) = 2 x 3 x 7 x 11 x 13 x 19 = 114114.