Least Common Multiple of 4752/294, 5147/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4752/294, 5147/710 quickly i.e. 12229272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4752/294, 5147/710 is 12229272.

LCM(4752/294, 5147/710) = 12229272

LCM of 4752/294, 5147/710

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 4752/294,5147/710

Given numbers are 4752/294,5147/710

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 4752,5147

Least Common Multiple of Numerators i.e. LCM of 4752,5147 is 24458544.

GCF of Denominators means GCF of 294,710 as per the given fractions.

GCF of 294,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4752,5147

LCM of Fractions 4752/294,5147/710 is 12229272

Given numbers has no common factors except 1. So, there LCM is their product i.e 24458544

Least Common Multiple of 4752,5147 with GCF Formula

Least Common Multiple of 4752,5147 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 4752,5147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4752,5147) = 1

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

GCF(4752,5147) x common factors =1 x 1 = 1

LCM(4752,5147) = ( 4752 × 5147 ) / 1

LCM(4752,5147) = 24458544 / 1

LCM(4752,5147) = 24458544


Lets's calculate GCF of 294,710

2 294, 710
147, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24458544/2

Therefore the LCM of Fractions 4752/294,5147/710 is 12229272

Greatest Common Factor of 294,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,710 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 294,710 . The biggest common factor number is the GCF number.
So the greatest common factor 294,710 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4752/294, 5147/710

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 4752/294, 5147/710?

Answer: LCM of Numerators as per given numbers 4752/294, 5147/710 is

LCM of Numerators i.e. for 4752,5147 is 24458544

GCF of denominators i.e. for 294,710 is 2.

Thus, LCM of Fractions is 12229272.Finally, LCM of Fractions for 4752/294, 5147/710 is 12229272.