Least Common Multiple of 13, 96, 74, 676

Q: How to Find the LCM of 13, 96, 74, 676 ?

Least Common Multiple of 13, 96, 74, 676 = 600288 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(13, 96, 74, 676) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 x 37 = 600288.

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 13, 96, 74, 676 i.e. 600288 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 96, 74, 676 is 600288.

LCM(13, 96, 74, 676) = 600288

LCM of 13, 96, 74, 676

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

Least Common Multiple of 13, 96, 74, 676 by common division method
Least Common Multiple of 13, 96, 74, 676 with GCF Formula

Least Common Multiple of 13,96,74,676

Least Common Multiple (LCM) of 13,96,74,676 is 600288

2	13, 96, 74, 676
2	13, 48, 37, 338
13	13, 24, 37, 169
	1, 24, 37, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 24 x 37 x 13 = 600288

Least Common Multiple of 13,96,74,676 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 13,96,74,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,96,74,676) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(13,96,74,676) x common factors =1 x 104 = 104

LCM(13,96,74,676) = ( 13 × 96 × 74 × 676 ) / 104

LCM(13,96,74,676) = 62429952 / 104

LCM(13,96,74,676) = 600288

∴ Least Common Multiple of 13,96,74,676 is 600288

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 13, 96, 74, 676

1. What is the LCM of 13, 96, 74, 676?

Answer: LCM of 13, 96, 74, 676 is 600288.

2. What are the Factors of 600288?

Answer: Factors of 600288 are . There are integers that are factors of 600288

3. How to Find the LCM of 13, 96, 74, 676 ?

Least Common Multiple of 13, 96, 74, 676.

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(13, 96, 74, 676) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 x 37 = 600288.