Least Common Multiple of 252, 705, 464

Q: How to Find the LCM of 252, 705, 464 ?

Least Common Multiple of 252, 705, 464 = 6869520 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(252, 705, 464) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 47 = 6869520.

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 252, 705, 464 i.e. 6869520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 705, 464 is 6869520.

LCM(252, 705, 464) = 6869520

LCM of 252, 705, 464

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

Least Common Multiple of 252, 705, 464 by common division method
Least Common Multiple of 252, 705, 464 with GCF Formula

Least Common Multiple of 252,705,464

Least Common Multiple (LCM) of 252,705,464 is 6869520

2	252, 705, 464
2	126, 705, 232
3	63, 705, 116
	21, 235, 116

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 235 x 116 = 6869520

Least Common Multiple of 252,705,464 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 252,705,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,705,464) = 1

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

GCF(252,705,464) x common factors =1 x 12 = 12

LCM(252,705,464) = ( 252 × 705 × 464 ) / 12

LCM(252,705,464) = 82434240 / 12

LCM(252,705,464) = 6869520

∴ Least Common Multiple of 252,705,464 is 6869520

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 252, 705, 464

1. What is the LCM of 252, 705, 464?

Answer: LCM of 252, 705, 464 is 6869520.

2. What are the Factors of 6869520?

Answer: Factors of 6869520 are . There are integers that are factors of 6869520

3. How to Find the LCM of 252, 705, 464 ?

Least Common Multiple of 252, 705, 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(252, 705, 464) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 47 = 6869520.