Least Common Multiple of 4942/56, 4013/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4942/56, 4013/540 quickly i.e. 19832246/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4942/56, 4013/540 is 19832246/4.

LCM(4942/56, 4013/540) = 19832246/4

LCM of 4942/56, 4013/540

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 4942/56,4013/540

Given numbers are 4942/56,4013/540

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 4942,4013

Least Common Multiple of Numerators i.e. LCM of 4942,4013 is 19832246.

GCF of Denominators means GCF of 56,540 as per the given fractions.

GCF of 56,540 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4942,4013

LCM of Fractions 4942/56,4013/540 is 19832246/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 19832246

Least Common Multiple of 4942,4013 with GCF Formula

Least Common Multiple of 4942,4013 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 4942,4013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4942,4013) = 1

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

GCF(4942,4013) x common factors =1 x 1 = 1

LCM(4942,4013) = ( 4942 × 4013 ) / 1

LCM(4942,4013) = 19832246 / 1

LCM(4942,4013) = 19832246


Lets's calculate GCF of 56,540

2 56, 540
2 28, 270
14, 135

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19832246/4

Therefore the LCM of Fractions 4942/56,4013/540 is 19832246/4

Greatest Common Factor of 56,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,540 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 56,540 . The biggest common factor number is the GCF number.
So the greatest common factor 56,540 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4942/56, 4013/540

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 4942/56, 4013/540?

Answer: LCM of Numerators as per given numbers 4942/56, 4013/540 is

LCM of Numerators i.e. for 4942,4013 is 19832246

GCF of denominators i.e. for 56,540 is 4.

Thus, LCM of Fractions is 19832246/4.Finally, LCM of Fractions for 4942/56, 4013/540 is 19832246/4.