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Least Common Multiple of 30, 45, 150

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 30, 45, 150 i.e. 450 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 45, 150 is 450.

LCM(30, 45, 150) = 450

LCM of 30, 45, 150

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

LCM of:

Least Common Multiple (LCM) of 30,45,150 By Common Division

2 30, 45, 150
3 15, 45, 75
5 5, 15, 25
1, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 5 = 450

Least Common Multiple of 30,45,150 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 30,45,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,45,150) = 15

common factors(in case of two or more numbers have common factors) = 30

GCF(30,45,150) x common factors =15 x 30 = 450

LCM(30,45,150) = ( 30 × 45 × 150 ) / 450

LCM(30,45,150) = 202500 / 450

LCM(30,45,150) = 450

∴ Least Common Multiple of 30,45,150 is 450

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 30, 45, 150

1. What is the LCM of 30, 45, 150?

Answer: LCM of 30, 45, 150 is 450.

2. What are the Factors of 450?

Answer: Factors of 450 are . There are integers that are factors of 450

3. How to Find the LCM of 30, 45, 150 ?

Least Common Multiple of 30, 45, 150.

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(30, 45, 150) = 2 x 3 x 3 x 5 x 5 = 450.