Least Common Multiple of 79/54, 522/94, 576/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/54, 522/94, 576/775 quickly i.e. 1319616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/54, 522/94, 576/775 is 1319616.

LCM(79/54, 522/94, 576/775) = 1319616

LCM of 79/54, 522/94, 576/775

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 79/54,522/94,576/775

Given numbers are 79/54,522/94,576/775

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 79,522,576

Least Common Multiple of Numerators i.e. LCM of 79,522,576 is 1319616.

GCF of Denominators means GCF of 54,94,775 as per the given fractions.

GCF of 54,94,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,522,576

LCM of Fractions 79/54,522/94,576/775 is 1319616

2 79, 522, 576
3 79, 261, 288
3 79, 87, 96
79, 29, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 79 x 29 x 32 = 1319616

Least Common Multiple of 79,522,576 with GCF Formula

Least Common Multiple of 79,522,576 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 79,522,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,522,576) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(79,522,576) x common factors =1 x 18 = 18

LCM(79,522,576) = ( 79 × 522 × 576 ) / 18

LCM(79,522,576) = 23753088 / 18

LCM(79,522,576) = 1319616


Lets's calculate GCF of 54,94,775

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319616/1

Therefore the LCM of Fractions 79/54,522/94,576/775 is 1319616

Greatest Common Factor of 54,94,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,94,775 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 54,94,775 . The biggest common factor number is the GCF number.
So the greatest common factor 54,94,775 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/54, 522/94, 576/775

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 79/54, 522/94, 576/775?

Answer: LCM of Numerators as per given numbers 79/54, 522/94, 576/775 is

LCM of Numerators i.e. for 79,522,576 is 1319616

GCF of denominators i.e. for 54,94,775 is 1.

Thus, LCM of Fractions is 1319616.Finally, LCM of Fractions for 79/54, 522/94, 576/775 is 1319616.