Least Common Multiple of 9038/714, 4976/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9038/714, 4976/886 quickly i.e. 11243272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9038/714, 4976/886 is 11243272.

LCM(9038/714, 4976/886) = 11243272

LCM of 9038/714, 4976/886

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 9038/714,4976/886

Given numbers are 9038/714,4976/886

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 9038,4976

Least Common Multiple of Numerators i.e. LCM of 9038,4976 is 22486544.

GCF of Denominators means GCF of 714,886 as per the given fractions.

GCF of 714,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9038,4976

LCM of Fractions 9038/714,4976/886 is 11243272

2 9038, 4976
4519, 2488

∴ So the LCM of the given numbers is 2 x 4519 x 2488 = 22486544

Least Common Multiple of 9038,4976 with GCF Formula

Least Common Multiple of 9038,4976 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 9038,4976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9038,4976) = 2

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

GCF(9038,4976) x common factors =2 x 1 = 2

LCM(9038,4976) = ( 9038 × 4976 ) / 2

LCM(9038,4976) = 44973088 / 2

LCM(9038,4976) = 22486544


Lets's calculate GCF of 714,886

2 714, 886
357, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22486544/2

Therefore the LCM of Fractions 9038/714,4976/886 is 11243272

Greatest Common Factor of 714,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,886 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 714,886 . The biggest common factor number is the GCF number.
So the greatest common factor 714,886 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9038/714, 4976/886

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 9038/714, 4976/886?

Answer: LCM of Numerators as per given numbers 9038/714, 4976/886 is

LCM of Numerators i.e. for 9038,4976 is 22486544

GCF of denominators i.e. for 714,886 is 2.

Thus, LCM of Fractions is 11243272.Finally, LCM of Fractions for 9038/714, 4976/886 is 11243272.