Least Common Multiple of 510, 975, 52

Q: How to Find the LCM of 510, 975, 52 ?

Least Common Multiple of 510, 975, 52 = 66300 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(510, 975, 52) = 2 x 2 x 3 x 5 x 5 x 13 x 17 = 66300.

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 510, 975, 52 i.e. 66300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 510, 975, 52 is 66300.

LCM(510, 975, 52) = 66300

LCM of 510, 975, 52

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

Least Common Multiple of 510, 975, 52 by common division method
Least Common Multiple of 510, 975, 52 with GCF Formula

Least Common Multiple of 510,975,52

Least Common Multiple (LCM) of 510,975,52 is 66300

2	510, 975, 52
3	255, 975, 26
5	85, 325, 26
13	17, 65, 26
	17, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 17 x 5 x 2 = 66300

Least Common Multiple of 510,975,52 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 510,975,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,975,52) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(510,975,52) x common factors =1 x 390 = 390

LCM(510,975,52) = ( 510 × 975 × 52 ) / 390

LCM(510,975,52) = 25857000 / 390

LCM(510,975,52) = 66300

∴ Least Common Multiple of 510,975,52 is 66300

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 510, 975, 52

1. What is the LCM of 510, 975, 52?

Answer: LCM of 510, 975, 52 is 66300.

2. What are the Factors of 66300?

Answer: Factors of 66300 are . There are integers that are factors of 66300

3. How to Find the LCM of 510, 975, 52 ?

Least Common Multiple of 510, 975, 52.

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(510, 975, 52) = 2 x 2 x 3 x 5 x 5 x 13 x 17 = 66300.