Least Common Multiple of 457, 468, 564

Q: How to Find the LCM of 457, 468, 564 ?

Least Common Multiple of 457, 468, 564 = 10052172 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(457, 468, 564) = 2 x 2 x 3 x 3 x 13 x 47 x 457 = 10052172.

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 457, 468, 564 i.e. 10052172 smallest integer divisible by all numbers.

Least common multiple (LCM) of 457, 468, 564 is 10052172.

LCM(457, 468, 564) = 10052172

LCM of 457, 468, 564

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

Least Common Multiple of 457, 468, 564 by common division method
Least Common Multiple of 457, 468, 564 with GCF Formula

Least Common Multiple of 457,468,564

Least Common Multiple (LCM) of 457,468,564 is 10052172

2	457, 468, 564
2	457, 234, 282
3	457, 117, 141
	457, 39, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 457 x 39 x 47 = 10052172

Least Common Multiple of 457,468,564 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 457,468,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,468,564) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(457,468,564) x common factors =1 x 12 = 12

LCM(457,468,564) = ( 457 × 468 × 564 ) / 12

LCM(457,468,564) = 120626064 / 12

LCM(457,468,564) = 10052172

∴ Least Common Multiple of 457,468,564 is 10052172

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 457, 468, 564

1. What is the LCM of 457, 468, 564?

Answer: LCM of 457, 468, 564 is 10052172.

2. What are the Factors of 10052172?

Answer: Factors of 10052172 are . There are integers that are factors of 10052172

3. How to Find the LCM of 457, 468, 564 ?

Least Common Multiple of 457, 468, 564.

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(457, 468, 564) = 2 x 2 x 3 x 3 x 13 x 47 x 457 = 10052172.