Least Common Multiple of 672, 39, 460, 171

Q: How to Find the LCM of 672, 39, 460, 171 ?

Least Common Multiple of 672, 39, 460, 171 = 57264480 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(672, 39, 460, 171) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 x 23 = 57264480.

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 672, 39, 460, 171 i.e. 57264480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 672, 39, 460, 171 is 57264480.

LCM(672, 39, 460, 171) = 57264480

LCM of 672, 39, 460, 171

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

Least Common Multiple of 672, 39, 460, 171 by common division method
Least Common Multiple of 672, 39, 460, 171 with GCF Formula

Least Common Multiple of 672,39,460,171

Least Common Multiple (LCM) of 672,39,460,171 is 57264480

2	672, 39, 460, 171
2	336, 39, 230, 171
3	168, 39, 115, 171
	56, 13, 115, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 56 x 13 x 115 x 57 = 57264480

Least Common Multiple of 672,39,460,171 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 672,39,460,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,39,460,171) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(672,39,460,171) x common factors =1 x 36 = 36

LCM(672,39,460,171) = ( 672 × 39 × 460 × 171 ) / 36

LCM(672,39,460,171) = 2061521280 / 36

LCM(672,39,460,171) = 57264480

∴ Least Common Multiple of 672,39,460,171 is 57264480

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 672, 39, 460, 171

1. What is the LCM of 672, 39, 460, 171?

Answer: LCM of 672, 39, 460, 171 is 57264480.

2. What are the Factors of 57264480?

Answer: Factors of 57264480 are . There are integers that are factors of 57264480

3. How to Find the LCM of 672, 39, 460, 171 ?

Least Common Multiple of 672, 39, 460, 171.

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(672, 39, 460, 171) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 19 x 23 = 57264480.