Least Common Multiple of 564, 470, 846

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 564, 470, 846 i.e. 8460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 470, 846 is 8460.

LCM(564, 470, 846) = 8460

LCM of 564, 470, 846

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

LCM of:

Least Common Multiple of 564,470,846

Least Common Multiple (LCM) of 564,470,846 is 8460

2 564, 470, 846
3 282, 235, 423
47 94, 235, 141
2, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 47 x 2 x 5 x 3 = 8460

Least Common Multiple of 564,470,846 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 564,470,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,470,846) = 94

common factors(in case of two or more numbers have common factors) = 282

GCF(564,470,846) x common factors =94 x 282 = 26508

LCM(564,470,846) = ( 564 × 470 × 846 ) / 26508

LCM(564,470,846) = 224257680 / 26508

LCM(564,470,846) = 8460

∴ Least Common Multiple of 564,470,846 is 8460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 564, 470, 846

1. What is the LCM of 564, 470, 846?

Answer: LCM of 564, 470, 846 is 8460.

2. What are the Factors of 8460?

Answer: Factors of 8460 are . There are integers that are factors of 8460

3. How to Find the LCM of 564, 470, 846 ?

Least Common Multiple of 564, 470, 846.

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(564, 470, 846) = 2 x 2 x 3 x 3 x 5 x 47 = 8460.