Least Common Multiple of 36, 75, 400

Q: How to Find the LCM of 36, 75, 400 ?

Least Common Multiple of 36, 75, 400 = 3600 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(36, 75, 400) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.

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 36, 75, 400 i.e. 3600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 75, 400 is 3600.

LCM(36, 75, 400) = 3600

LCM of 36, 75, 400

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

Least Common Multiple of 36, 75, 400 by common division method
Least Common Multiple of 36, 75, 400 with GCF Formula

Least Common Multiple of 36,75,400

Least Common Multiple (LCM) of 36,75,400 is 3600

2	36, 75, 400
2	18, 75, 200
3	9, 75, 100
5	3, 25, 100
5	3, 5, 20
	3, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 3 x 1 x 4 = 3600

Least Common Multiple of 36,75,400 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 36,75,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,75,400) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(36,75,400) x common factors =1 x 300 = 300

LCM(36,75,400) = ( 36 × 75 × 400 ) / 300

LCM(36,75,400) = 1080000 / 300

LCM(36,75,400) = 3600

∴ Least Common Multiple of 36,75,400 is 3600

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 36, 75, 400

1. What is the LCM of 36, 75, 400?

Answer: LCM of 36, 75, 400 is 3600.

2. What are the Factors of 3600?

Answer: Factors of 3600 are . There are integers that are factors of 3600

3. How to Find the LCM of 36, 75, 400 ?

Least Common Multiple of 36, 75, 400.

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(36, 75, 400) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.