Least Common Multiple of 214, 332, 52

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 214, 332, 52 i.e. 461812 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 332, 52 is 461812.

LCM(214, 332, 52) = 461812

LCM of 214, 332, 52

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

LCM of:

Least Common Multiple of 214,332,52

Least Common Multiple (LCM) of 214,332,52 is 461812

2 214, 332, 52
2 107, 166, 26
107, 83, 13

∴ So the LCM of the given numbers is 2 x 2 x 107 x 83 x 13 = 461812

Least Common Multiple of 214,332,52 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 214,332,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,332,52) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(214,332,52) x common factors =2 x 4 = 8

LCM(214,332,52) = ( 214 × 332 × 52 ) / 8

LCM(214,332,52) = 3694496 / 8

LCM(214,332,52) = 461812

∴ Least Common Multiple of 214,332,52 is 461812

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 214, 332, 52

1. What is the LCM of 214, 332, 52?

Answer: LCM of 214, 332, 52 is 461812.

2. What are the Factors of 461812?

Answer: Factors of 461812 are . There are integers that are factors of 461812

3. How to Find the LCM of 214, 332, 52 ?

Least Common Multiple of 214, 332, 52.

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(214, 332, 52) = 2 x 2 x 13 x 83 x 107 = 461812.