Least Common Multiple of 66, 72, 648, 724

Q: How to Find the LCM of 66, 72, 648, 724 ?

Least Common Multiple of 66, 72, 648, 724 = 1290168 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(66, 72, 648, 724) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 181 = 1290168.

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 66, 72, 648, 724 i.e. 1290168 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 72, 648, 724 is 1290168.

LCM(66, 72, 648, 724) = 1290168

LCM of 66, 72, 648, 724

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

Least Common Multiple of 66, 72, 648, 724 by common division method
Least Common Multiple of 66, 72, 648, 724 with GCF Formula

Least Common Multiple of 66,72,648,724

Least Common Multiple (LCM) of 66,72,648,724 is 1290168

2	66, 72, 648, 724
2	33, 36, 324, 362
2	33, 18, 162, 181
3	33, 9, 81, 181
3	11, 3, 27, 181
	11, 1, 9, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 1 x 9 x 181 = 1290168

Least Common Multiple of 66,72,648,724 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 66,72,648,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,72,648,724) = 2

common factors(in case of two or more numbers have common factors) = 864

GCF(66,72,648,724) x common factors =2 x 864 = 1728

LCM(66,72,648,724) = ( 66 × 72 × 648 × 724 ) / 1728

LCM(66,72,648,724) = 2229410304 / 1728

LCM(66,72,648,724) = 1290168

∴ Least Common Multiple of 66,72,648,724 is 1290168

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 66, 72, 648, 724

1. What is the LCM of 66, 72, 648, 724?

Answer: LCM of 66, 72, 648, 724 is 1290168.

2. What are the Factors of 1290168?

Answer: Factors of 1290168 are . There are integers that are factors of 1290168

3. How to Find the LCM of 66, 72, 648, 724 ?

Least Common Multiple of 66, 72, 648, 724.

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(66, 72, 648, 724) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 181 = 1290168.