Least Common Multiple of 39, 14, 75, 400

Q: How to Find the LCM of 39, 14, 75, 400 ?

Least Common Multiple of 39, 14, 75, 400 = 109200 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(39, 14, 75, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 = 109200.

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 39, 14, 75, 400 i.e. 109200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 14, 75, 400 is 109200.

LCM(39, 14, 75, 400) = 109200

LCM of 39, 14, 75, 400

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

Least Common Multiple of 39, 14, 75, 400 by common division method
Least Common Multiple of 39, 14, 75, 400 with GCF Formula

Least Common Multiple of 39,14,75,400

Least Common Multiple (LCM) of 39,14,75,400 is 109200

2	39, 14, 75, 400
3	39, 7, 75, 200
5	13, 7, 25, 200
5	13, 7, 5, 40
	13, 7, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 7 x 1 x 8 = 109200

Least Common Multiple of 39,14,75,400 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 39,14,75,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,14,75,400) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(39,14,75,400) x common factors =1 x 150 = 150

LCM(39,14,75,400) = ( 39 × 14 × 75 × 400 ) / 150

LCM(39,14,75,400) = 16380000 / 150

LCM(39,14,75,400) = 109200

∴ Least Common Multiple of 39,14,75,400 is 109200

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 39, 14, 75, 400

1. What is the LCM of 39, 14, 75, 400?

Answer: LCM of 39, 14, 75, 400 is 109200.

2. What are the Factors of 109200?

Answer: Factors of 109200 are . There are integers that are factors of 109200

3. How to Find the LCM of 39, 14, 75, 400 ?

Least Common Multiple of 39, 14, 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(39, 14, 75, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 = 109200.