Least Common Multiple of 364, 312, 513

Q: How to Find the LCM of 364, 312, 513 ?

Least Common Multiple of 364, 312, 513 = 373464 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(364, 312, 513) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19 = 373464.

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 364, 312, 513 i.e. 373464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 364, 312, 513 is 373464.

LCM(364, 312, 513) = 373464

LCM of 364, 312, 513

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

Least Common Multiple of 364, 312, 513 by common division method
Least Common Multiple of 364, 312, 513 with GCF Formula

Least Common Multiple of 364,312,513

Least Common Multiple (LCM) of 364,312,513 is 373464

2	364, 312, 513
2	182, 156, 513
3	91, 78, 513
13	91, 26, 171
	7, 2, 171

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 7 x 2 x 171 = 373464

Least Common Multiple of 364,312,513 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 364,312,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,312,513) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(364,312,513) x common factors =1 x 156 = 156

LCM(364,312,513) = ( 364 × 312 × 513 ) / 156

LCM(364,312,513) = 58260384 / 156

LCM(364,312,513) = 373464

∴ Least Common Multiple of 364,312,513 is 373464

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 364, 312, 513

1. What is the LCM of 364, 312, 513?

Answer: LCM of 364, 312, 513 is 373464.

2. What are the Factors of 373464?

Answer: Factors of 373464 are . There are integers that are factors of 373464

3. How to Find the LCM of 364, 312, 513 ?

Least Common Multiple of 364, 312, 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(364, 312, 513) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 19 = 373464.