Least Common Multiple of 471, 690, 312

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 471, 690, 312 i.e. 5633160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 471, 690, 312 is 5633160.

LCM(471, 690, 312) = 5633160

LCM of 471, 690, 312

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

LCM of:

Least Common Multiple of 471,690,312

Least Common Multiple (LCM) of 471,690,312 is 5633160

2 471, 690, 312
3 471, 345, 156
157, 115, 52

∴ So the LCM of the given numbers is 2 x 3 x 157 x 115 x 52 = 5633160

Least Common Multiple of 471,690,312 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 471,690,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,690,312) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(471,690,312) x common factors =3 x 6 = 18

LCM(471,690,312) = ( 471 × 690 × 312 ) / 18

LCM(471,690,312) = 101396880 / 18

LCM(471,690,312) = 5633160

∴ Least Common Multiple of 471,690,312 is 5633160

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 471, 690, 312

1. What is the LCM of 471, 690, 312?

Answer: LCM of 471, 690, 312 is 5633160.

2. What are the Factors of 5633160?

Answer: Factors of 5633160 are . There are integers that are factors of 5633160

3. How to Find the LCM of 471, 690, 312 ?

Least Common Multiple of 471, 690, 312.

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(471, 690, 312) = 2 x 2 x 2 x 3 x 5 x 13 x 23 x 157 = 5633160.