Least Common Multiple of 639/32, 552/66, 742/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 639/32, 552/66, 742/72 quickly i.e. 21810348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 639/32, 552/66, 742/72 is 21810348.

LCM(639/32, 552/66, 742/72) = 21810348

LCM of 639/32, 552/66, 742/72

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 639/32,552/66,742/72

Given numbers are 639/32,552/66,742/72

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 639,552,742

Least Common Multiple of Numerators i.e. LCM of 639,552,742 is 43620696.

GCF of Denominators means GCF of 32,66,72 as per the given fractions.

GCF of 32,66,72 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 639,552,742

LCM of Fractions 639/32,552/66,742/72 is 21810348

2 639, 552, 742
3 639, 276, 371
213, 92, 371

∴ So the LCM of the given numbers is 2 x 3 x 213 x 92 x 371 = 43620696

Least Common Multiple of 639,552,742 with GCF Formula

Least Common Multiple of 639,552,742 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 639,552,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,552,742) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(639,552,742) x common factors =1 x 6 = 6

LCM(639,552,742) = ( 639 × 552 × 742 ) / 6

LCM(639,552,742) = 261724176 / 6

LCM(639,552,742) = 43620696


Lets's calculate GCF of 32,66,72

2 32, 66, 72
16, 33, 36

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43620696/2

Therefore the LCM of Fractions 639/32,552/66,742/72 is 21810348

Greatest Common Factor of 32,66,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,66,72 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 32,66,72 . The biggest common factor number is the GCF number.
So the greatest common factor 32,66,72 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 639/32, 552/66, 742/72

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 639/32, 552/66, 742/72?

Answer: LCM of Numerators as per given numbers 639/32, 552/66, 742/72 is

LCM of Numerators i.e. for 639,552,742 is 43620696

GCF of denominators i.e. for 32,66,72 is 2.

Thus, LCM of Fractions is 21810348.Finally, LCM of Fractions for 639/32, 552/66, 742/72 is 21810348.