Least Common Multiple of 564, 141, 469

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, 141, 469 i.e. 264516 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 141, 469 is 264516.

LCM(564, 141, 469) = 264516

LCM of 564, 141, 469

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

LCM of:

Least Common Multiple of 564,141,469

Least Common Multiple (LCM) of 564,141,469 is 264516

3 564, 141, 469
47 188, 47, 469
4, 1, 469

∴ So the LCM of the given numbers is 3 x 47 x 4 x 1 x 469 = 264516

Least Common Multiple of 564,141,469 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 564,141,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,141,469) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(564,141,469) x common factors =1 x 141 = 141

LCM(564,141,469) = ( 564 × 141 × 469 ) / 141

LCM(564,141,469) = 37296756 / 141

LCM(564,141,469) = 264516

∴ Least Common Multiple of 564,141,469 is 264516

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 564, 141, 469

1. What is the LCM of 564, 141, 469?

Answer: LCM of 564, 141, 469 is 264516.

2. What are the Factors of 264516?

Answer: Factors of 264516 are . There are integers that are factors of 264516

3. How to Find the LCM of 564, 141, 469 ?

Least Common Multiple of 564, 141, 469.

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, 141, 469) = 2 x 2 x 3 x 7 x 47 x 67 = 264516.