Least Common Multiple of 567, 348, 464

Q: How to Find the LCM of 567, 348, 464 ?

Least Common Multiple of 567, 348, 464 = 263088 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(567, 348, 464) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 29 = 263088.

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 567, 348, 464 i.e. 263088 smallest integer divisible by all numbers.

Least common multiple (LCM) of 567, 348, 464 is 263088.

LCM(567, 348, 464) = 263088

LCM of 567, 348, 464

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

Least Common Multiple of 567, 348, 464 by common division method
Least Common Multiple of 567, 348, 464 with GCF Formula

Least Common Multiple of 567,348,464

Least Common Multiple (LCM) of 567,348,464 is 263088

2	567, 348, 464
2	567, 174, 232
3	567, 87, 116
29	189, 29, 116
	189, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 189 x 1 x 4 = 263088

Least Common Multiple of 567,348,464 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 567,348,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,348,464) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(567,348,464) x common factors =1 x 348 = 348

LCM(567,348,464) = ( 567 × 348 × 464 ) / 348

LCM(567,348,464) = 91554624 / 348

LCM(567,348,464) = 263088

∴ Least Common Multiple of 567,348,464 is 263088

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 567, 348, 464

1. What is the LCM of 567, 348, 464?

Answer: LCM of 567, 348, 464 is 263088.

2. What are the Factors of 263088?

Answer: Factors of 263088 are . There are integers that are factors of 263088

3. How to Find the LCM of 567, 348, 464 ?

Least Common Multiple of 567, 348, 464.

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(567, 348, 464) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 29 = 263088.