Least Common Multiple of 474/52, 292/7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/52, 292/7479 quickly i.e. 69204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/52, 292/7479 is 69204.

LCM(474/52, 292/7479) = 69204

LCM of 474/52, 292/7479

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 474/52,292/7479

Given numbers are 474/52,292/7479

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 474,292

Least Common Multiple of Numerators i.e. LCM of 474,292 is 69204.

GCF of Denominators means GCF of 52,7479 as per the given fractions.

GCF of 52,7479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,292

LCM of Fractions 474/52,292/7479 is 69204

2 474, 292
237, 146

∴ So the LCM of the given numbers is 2 x 237 x 146 = 69204

Least Common Multiple of 474,292 with GCF Formula

Least Common Multiple of 474,292 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 474,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,292) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(474,292) x common factors =2 x 1 = 2

LCM(474,292) = ( 474 × 292 ) / 2

LCM(474,292) = 138408 / 2

LCM(474,292) = 69204


Lets's calculate GCF of 52,7479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69204/1

Therefore the LCM of Fractions 474/52,292/7479 is 69204

Greatest Common Factor of 52,7479 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,7479 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Greatest Common Factor

We found the factors 52,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 52,7479 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/52, 292/7479

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 474/52, 292/7479?

Answer: LCM of Numerators as per given numbers 474/52, 292/7479 is

LCM of Numerators i.e. for 474,292 is 69204

GCF of denominators i.e. for 52,7479 is 1.

Thus, LCM of Fractions is 69204.Finally, LCM of Fractions for 474/52, 292/7479 is 69204.