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Least Common Multiple of 120, 180, 300

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 120, 180, 300 i.e. 1800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 180, 300 is 1800.

LCM(120, 180, 300) = 1800

LCM of 120, 180, 300

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

LCM of:

Least Common Multiple (LCM) of 120,180,300 By Common Division

2 120, 180, 300
2 60, 90, 150
3 30, 45, 75
5 10, 15, 25
2, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 3 x 5 = 1800

Least Common Multiple of 120,180,300 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 120,180,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,180,300) = 60

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

GCF(120,180,300) x common factors =60 x 60 = 3600

LCM(120,180,300) = ( 120 × 180 × 300 ) / 3600

LCM(120,180,300) = 6480000 / 3600

LCM(120,180,300) = 1800

∴ Least Common Multiple of 120,180,300 is 1800

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 120, 180, 300

1. What is the LCM of 120, 180, 300?

Answer: LCM of 120, 180, 300 is 1800.

2. What are the Factors of 1800?

Answer: Factors of 1800 are . There are integers that are factors of 1800

3. How to Find the LCM of 120, 180, 300 ?

Least Common Multiple of 120, 180, 300.

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(120, 180, 300) = 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800.