Least Common Multiple of 429, 470, 564

Q: How to Find the LCM of 429, 470, 564 ?

Least Common Multiple of 429, 470, 564 = 403260 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(429, 470, 564) = 2 x 2 x 3 x 5 x 11 x 13 x 47 = 403260.

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 429, 470, 564 i.e. 403260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 429, 470, 564 is 403260.

LCM(429, 470, 564) = 403260

LCM of 429, 470, 564

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

Least Common Multiple of 429, 470, 564 by common division method
Least Common Multiple of 429, 470, 564 with GCF Formula

Least Common Multiple of 429,470,564

Least Common Multiple (LCM) of 429,470,564 is 403260

2	429, 470, 564
3	429, 235, 282
47	143, 235, 94
	143, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 47 x 143 x 5 x 2 = 403260

Least Common Multiple of 429,470,564 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 429,470,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,470,564) = 1

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

GCF(429,470,564) x common factors =1 x 282 = 282

LCM(429,470,564) = ( 429 × 470 × 564 ) / 282

LCM(429,470,564) = 113719320 / 282

LCM(429,470,564) = 403260

∴ Least Common Multiple of 429,470,564 is 403260

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 429, 470, 564

1. What is the LCM of 429, 470, 564?

Answer: LCM of 429, 470, 564 is 403260.

2. What are the Factors of 403260?

Answer: Factors of 403260 are . There are integers that are factors of 403260

3. How to Find the LCM of 429, 470, 564 ?

Least Common Multiple of 429, 470, 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(429, 470, 564) = 2 x 2 x 3 x 5 x 11 x 13 x 47 = 403260.