Least Common Multiple of 6242/22, 2346/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6242/22, 2346/913 quickly i.e. 7321866/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6242/22, 2346/913 is 7321866/11.

LCM(6242/22, 2346/913) = 7321866/11

LCM of 6242/22, 2346/913

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 6242/22,2346/913

Given numbers are 6242/22,2346/913

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 6242,2346

Least Common Multiple of Numerators i.e. LCM of 6242,2346 is 7321866.

GCF of Denominators means GCF of 22,913 as per the given fractions.

GCF of 22,913 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6242,2346

LCM of Fractions 6242/22,2346/913 is 7321866/11

2 6242, 2346
3121, 1173

∴ So the LCM of the given numbers is 2 x 3121 x 1173 = 7321866

Least Common Multiple of 6242,2346 with GCF Formula

Least Common Multiple of 6242,2346 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 6242,2346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6242,2346) = 2

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

GCF(6242,2346) x common factors =2 x 1 = 2

LCM(6242,2346) = ( 6242 × 2346 ) / 2

LCM(6242,2346) = 14643732 / 2

LCM(6242,2346) = 7321866


Lets's calculate GCF of 22,913

11 22, 913
2, 83

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7321866/11

Therefore the LCM of Fractions 6242/22,2346/913 is 7321866/11

Greatest Common Factor of 22,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,913 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 22,913 . The biggest common factor number is the GCF number.
So the greatest common factor 22,913 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6242/22, 2346/913

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 6242/22, 2346/913?

Answer: LCM of Numerators as per given numbers 6242/22, 2346/913 is

LCM of Numerators i.e. for 6242,2346 is 7321866

GCF of denominators i.e. for 22,913 is 11.

Thus, LCM of Fractions is 7321866/11.Finally, LCM of Fractions for 6242/22, 2346/913 is 7321866/11.