Least Common Multiple of 228, 150, 360

Q: How to Find the LCM of 228, 150, 360 ?

Least Common Multiple of 228, 150, 360 = 34200 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(228, 150, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 = 34200.

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 228, 150, 360 i.e. 34200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 150, 360 is 34200.

LCM(228, 150, 360) = 34200

LCM of 228, 150, 360

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

Least Common Multiple of 228, 150, 360 by common division method
Least Common Multiple of 228, 150, 360 with GCF Formula

Least Common Multiple of 228,150,360

Least Common Multiple (LCM) of 228,150,360 is 34200

2	228, 150, 360
2	114, 75, 180
3	57, 75, 90
5	19, 25, 30
	19, 5, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 5 x 6 = 34200

Least Common Multiple of 228,150,360 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 228,150,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,150,360) = 6

common factors(in case of two or more numbers have common factors) = 60

GCF(228,150,360) x common factors =6 x 60 = 360

LCM(228,150,360) = ( 228 × 150 × 360 ) / 360

LCM(228,150,360) = 12312000 / 360

LCM(228,150,360) = 34200

∴ Least Common Multiple of 228,150,360 is 34200

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 228, 150, 360

1. What is the LCM of 228, 150, 360?

Answer: LCM of 228, 150, 360 is 34200.

2. What are the Factors of 34200?

Answer: Factors of 34200 are . There are integers that are factors of 34200

3. How to Find the LCM of 228, 150, 360 ?

Least Common Multiple of 228, 150, 360.

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(228, 150, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 = 34200.