Least Common Multiple of 464, 510

Q: How to Find the LCM of 464, 510 ?

Least Common Multiple of 464, 510 = 118320 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(464, 510) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 29 = 118320.

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 464, 510 i.e. 118320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 510 is 118320.

LCM(464, 510) = 118320

LCM of 464, 510

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

Least Common Multiple of 464, 510 by common division method
Least Common Multiple of 464, 510 with GCF Formula

Least Common Multiple of 464,510

Least Common Multiple (LCM) of 464,510 is 118320

2	464, 510
	232, 255

∴ So the LCM of the given numbers is 2 x 232 x 255 = 118320

Least Common Multiple of 464,510 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 464,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,510) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(464,510) x common factors =2 x 1 = 2

LCM(464,510) = ( 464 × 510 ) / 2

LCM(464,510) = 236640 / 2

LCM(464,510) = 118320

∴ Least Common Multiple of 464,510 is 118320

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 464, 510

1. What is the LCM of 464, 510?

Answer: LCM of 464, 510 is 118320.

2. What are the Factors of 118320?

Answer: Factors of 118320 are . There are integers that are factors of 118320

3. How to Find the LCM of 464, 510 ?

Least Common Multiple of 464, 510.

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(464, 510) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 29 = 118320.