Least Common Multiple of 952/72, 561/32, 769/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 952/72, 561/32, 769/82 quickly i.e. 12079452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/72, 561/32, 769/82 is 12079452.

LCM(952/72, 561/32, 769/82) = 12079452

LCM of 952/72, 561/32, 769/82

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 952/72,561/32,769/82

Given numbers are 952/72,561/32,769/82

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 952,561,769

Least Common Multiple of Numerators i.e. LCM of 952,561,769 is 24158904.

GCF of Denominators means GCF of 72,32,82 as per the given fractions.

GCF of 72,32,82 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,561,769

LCM of Fractions 952/72,561/32,769/82 is 12079452

17 952, 561, 769
56, 33, 769

∴ So the LCM of the given numbers is 17 x 56 x 33 x 769 = 24158904

Least Common Multiple of 952,561,769 with GCF Formula

Least Common Multiple of 952,561,769 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 952,561,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,561,769) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(952,561,769) x common factors =1 x 17 = 17

LCM(952,561,769) = ( 952 × 561 × 769 ) / 17

LCM(952,561,769) = 410701368 / 17

LCM(952,561,769) = 24158904


Lets's calculate GCF of 72,32,82

2 72, 32, 82
36, 16, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24158904/2

Therefore the LCM of Fractions 952/72,561/32,769/82 is 12079452

Greatest Common Factor of 72,32,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,32,82 By Matching Biggest Common Factor Method

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

Factors of 32

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

1,2,4,8,16,32

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 72,32,82 . The biggest common factor number is the GCF number.
So the greatest common factor 72,32,82 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 952/72, 561/32, 769/82

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 952/72, 561/32, 769/82?

Answer: LCM of Numerators as per given numbers 952/72, 561/32, 769/82 is

LCM of Numerators i.e. for 952,561,769 is 24158904

GCF of denominators i.e. for 72,32,82 is 2.

Thus, LCM of Fractions is 12079452.Finally, LCM of Fractions for 952/72, 561/32, 769/82 is 12079452.