Least Common Multiple of 264, 319, 408

Q: How to Find the LCM of 264, 319, 408 ?

Least Common Multiple of 264, 319, 408 = 130152 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(264, 319, 408) = 2 x 2 x 2 x 3 x 11 x 17 x 29 = 130152.

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 264, 319, 408 i.e. 130152 smallest integer divisible by all numbers.

Least common multiple (LCM) of 264, 319, 408 is 130152.

LCM(264, 319, 408) = 130152

LCM of 264, 319, 408

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

Least Common Multiple of 264, 319, 408 by common division method
Least Common Multiple of 264, 319, 408 with GCF Formula

Least Common Multiple of 264,319,408

Least Common Multiple (LCM) of 264,319,408 is 130152

2	264, 319, 408
2	132, 319, 204
2	66, 319, 102
3	33, 319, 51
11	11, 319, 17
	1, 29, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 29 x 17 = 130152

Least Common Multiple of 264,319,408 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 264,319,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,319,408) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(264,319,408) x common factors =1 x 264 = 264

LCM(264,319,408) = ( 264 × 319 × 408 ) / 264

LCM(264,319,408) = 34360128 / 264

LCM(264,319,408) = 130152

∴ Least Common Multiple of 264,319,408 is 130152

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 264, 319, 408

1. What is the LCM of 264, 319, 408?

Answer: LCM of 264, 319, 408 is 130152.

2. What are the Factors of 130152?

Answer: Factors of 130152 are . There are integers that are factors of 130152

3. How to Find the LCM of 264, 319, 408 ?

Least Common Multiple of 264, 319, 408.

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(264, 319, 408) = 2 x 2 x 2 x 3 x 11 x 17 x 29 = 130152.