Least Common Multiple of 150, 240, 800

Q: How to Find the LCM of 150, 240, 800 ?

Least Common Multiple of 150, 240, 800 = 2400 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(150, 240, 800) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 2400.

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 150, 240, 800 i.e. 2400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 150, 240, 800 is 2400.

LCM(150, 240, 800) = 2400

LCM of 150, 240, 800

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

Least Common Multiple of 150, 240, 800 by common division method
Least Common Multiple of 150, 240, 800 with GCF Formula

Least Common Multiple of 150,240,800

Least Common Multiple (LCM) of 150,240,800 is 2400

2	150, 240, 800
2	75, 120, 400
2	75, 60, 200
2	75, 30, 100
3	75, 15, 50
5	25, 5, 50
5	1, 5, 10
	1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 1 x 1 x 2 = 2400

Least Common Multiple of 150,240,800 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 150,240,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,240,800) = 10

common factors(in case of two or more numbers have common factors) = 1200

GCF(150,240,800) x common factors =10 x 1200 = 12000

LCM(150,240,800) = ( 150 × 240 × 800 ) / 12000

LCM(150,240,800) = 28800000 / 12000

LCM(150,240,800) = 2400

∴ Least Common Multiple of 150,240,800 is 2400

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 150, 240, 800

1. What is the LCM of 150, 240, 800?

Answer: LCM of 150, 240, 800 is 2400.

2. What are the Factors of 2400?

Answer: Factors of 2400 are . There are integers that are factors of 2400

3. How to Find the LCM of 150, 240, 800 ?

Least Common Multiple of 150, 240, 800.

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(150, 240, 800) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 2400.