Least Common Multiple of 351, 689, 936

Q: How to Find the LCM of 351, 689, 936 ?

Least Common Multiple of 351, 689, 936 = 148824 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(351, 689, 936) = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 53 = 148824.

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 351, 689, 936 i.e. 148824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 351, 689, 936 is 148824.

LCM(351, 689, 936) = 148824

LCM of 351, 689, 936

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

Least Common Multiple of 351, 689, 936 by common division method
Least Common Multiple of 351, 689, 936 with GCF Formula

Least Common Multiple of 351,689,936

Least Common Multiple (LCM) of 351,689,936 is 148824

3	351, 689, 936
3	117, 689, 312
13	39, 689, 104
	3, 53, 8

∴ So the LCM of the given numbers is 3 x 3 x 13 x 3 x 53 x 8 = 148824

Least Common Multiple of 351,689,936 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 351,689,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,689,936) = 13

common factors(in case of two or more numbers have common factors) = 117

GCF(351,689,936) x common factors =13 x 117 = 1521

LCM(351,689,936) = ( 351 × 689 × 936 ) / 1521

LCM(351,689,936) = 226361304 / 1521

LCM(351,689,936) = 148824

∴ Least Common Multiple of 351,689,936 is 148824

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 351, 689, 936

1. What is the LCM of 351, 689, 936?

Answer: LCM of 351, 689, 936 is 148824.

2. What are the Factors of 148824?

Answer: Factors of 148824 are . There are integers that are factors of 148824

3. How to Find the LCM of 351, 689, 936 ?

Least Common Multiple of 351, 689, 936.

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(351, 689, 936) = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 53 = 148824.