Least Common Multiple of 52, 25, 56, 208

Q: How to Find the LCM of 52, 25, 56, 208 ?

Least Common Multiple of 52, 25, 56, 208 = 36400 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(52, 25, 56, 208) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 = 36400.

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 52, 25, 56, 208 i.e. 36400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 52, 25, 56, 208 is 36400.

LCM(52, 25, 56, 208) = 36400

LCM of 52, 25, 56, 208

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

Least Common Multiple of 52, 25, 56, 208 by common division method
Least Common Multiple of 52, 25, 56, 208 with GCF Formula

Least Common Multiple of 52,25,56,208

Least Common Multiple (LCM) of 52,25,56,208 is 36400

2	52, 25, 56, 208
2	26, 25, 28, 104
2	13, 25, 14, 52
13	13, 25, 7, 26
	1, 25, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 1 x 25 x 7 x 2 = 36400

Least Common Multiple of 52,25,56,208 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 52,25,56,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,25,56,208) = 1

common factors(in case of two or more numbers have common factors) = 416

GCF(52,25,56,208) x common factors =1 x 416 = 416

LCM(52,25,56,208) = ( 52 × 25 × 56 × 208 ) / 416

LCM(52,25,56,208) = 15142400 / 416

LCM(52,25,56,208) = 36400

∴ Least Common Multiple of 52,25,56,208 is 36400

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 52, 25, 56, 208

1. What is the LCM of 52, 25, 56, 208?

Answer: LCM of 52, 25, 56, 208 is 36400.

2. What are the Factors of 36400?

Answer: Factors of 36400 are . There are integers that are factors of 36400

3. How to Find the LCM of 52, 25, 56, 208 ?

Least Common Multiple of 52, 25, 56, 208.

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(52, 25, 56, 208) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 = 36400.