Least Common Multiple of 465, 684, 513

Q: How to Find the LCM of 465, 684, 513 ?

Least Common Multiple of 465, 684, 513 = 318060 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(465, 684, 513) = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 31 = 318060.

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 465, 684, 513 i.e. 318060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 465, 684, 513 is 318060.

LCM(465, 684, 513) = 318060

LCM of 465, 684, 513

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

Least Common Multiple of 465, 684, 513 by common division method
Least Common Multiple of 465, 684, 513 with GCF Formula

Least Common Multiple of 465,684,513

Least Common Multiple (LCM) of 465,684,513 is 318060

3	465, 684, 513
3	155, 228, 171
19	155, 76, 57
	155, 4, 3

∴ So the LCM of the given numbers is 3 x 3 x 19 x 155 x 4 x 3 = 318060

Least Common Multiple of 465,684,513 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 465,684,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,684,513) = 3

common factors(in case of two or more numbers have common factors) = 171

GCF(465,684,513) x common factors =3 x 171 = 513

LCM(465,684,513) = ( 465 × 684 × 513 ) / 513

LCM(465,684,513) = 163164780 / 513

LCM(465,684,513) = 318060

∴ Least Common Multiple of 465,684,513 is 318060

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 465, 684, 513

1. What is the LCM of 465, 684, 513?

Answer: LCM of 465, 684, 513 is 318060.

2. What are the Factors of 318060?

Answer: Factors of 318060 are . There are integers that are factors of 318060

3. How to Find the LCM of 465, 684, 513 ?

Least Common Multiple of 465, 684, 513.

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(465, 684, 513) = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 31 = 318060.