Least Common Multiple of 648, 450, 945

Q: How to Find the LCM of 648, 450, 945 ?

Least Common Multiple of 648, 450, 945 = 113400 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(648, 450, 945) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 = 113400.

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 648, 450, 945 i.e. 113400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 648, 450, 945 is 113400.

LCM(648, 450, 945) = 113400

LCM of 648, 450, 945

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

Least Common Multiple of 648, 450, 945 by common division method
Least Common Multiple of 648, 450, 945 with GCF Formula

Least Common Multiple of 648,450,945

Least Common Multiple (LCM) of 648,450,945 is 113400

2	648, 450, 945
3	324, 225, 945
3	108, 75, 315
3	36, 25, 105
5	12, 25, 35
	12, 5, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 12 x 5 x 7 = 113400

Least Common Multiple of 648,450,945 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 648,450,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,450,945) = 9

common factors(in case of two or more numbers have common factors) = 270

GCF(648,450,945) x common factors =9 x 270 = 2430

LCM(648,450,945) = ( 648 × 450 × 945 ) / 2430

LCM(648,450,945) = 275562000 / 2430

LCM(648,450,945) = 113400

∴ Least Common Multiple of 648,450,945 is 113400

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 648, 450, 945

1. What is the LCM of 648, 450, 945?

Answer: LCM of 648, 450, 945 is 113400.

2. What are the Factors of 113400?

Answer: Factors of 113400 are . There are integers that are factors of 113400

3. How to Find the LCM of 648, 450, 945 ?

Least Common Multiple of 648, 450, 945.

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(648, 450, 945) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 = 113400.