Least Common Multiple of 357, 208, 408

Q: How to Find the LCM of 357, 208, 408 ?

Least Common Multiple of 357, 208, 408 = 74256 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(357, 208, 408) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 = 74256.

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 357, 208, 408 i.e. 74256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 357, 208, 408 is 74256.

LCM(357, 208, 408) = 74256

LCM of 357, 208, 408

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

Least Common Multiple of 357, 208, 408 by common division method
Least Common Multiple of 357, 208, 408 with GCF Formula

Least Common Multiple of 357,208,408

Least Common Multiple (LCM) of 357,208,408 is 74256

2	357, 208, 408
2	357, 104, 204
2	357, 52, 102
3	357, 26, 51
17	119, 26, 17
	7, 26, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 7 x 26 x 1 = 74256

Least Common Multiple of 357,208,408 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 357,208,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,208,408) = 1

common factors(in case of two or more numbers have common factors) = 408

GCF(357,208,408) x common factors =1 x 408 = 408

LCM(357,208,408) = ( 357 × 208 × 408 ) / 408

LCM(357,208,408) = 30296448 / 408

LCM(357,208,408) = 74256

∴ Least Common Multiple of 357,208,408 is 74256

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 357, 208, 408

1. What is the LCM of 357, 208, 408?

Answer: LCM of 357, 208, 408 is 74256.

2. What are the Factors of 74256?

Answer: Factors of 74256 are . There are integers that are factors of 74256

3. How to Find the LCM of 357, 208, 408 ?

Least Common Multiple of 357, 208, 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(357, 208, 408) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 = 74256.