Least Common Multiple of 4942/710, 4028/7875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4942/710, 4028/7875 quickly i.e. 9953188/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4942/710, 4028/7875 is 9953188/5.

LCM(4942/710, 4028/7875) = 9953188/5

LCM of 4942/710, 4028/7875

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 4942/710,4028/7875

Given numbers are 4942/710,4028/7875

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 4942,4028

Least Common Multiple of Numerators i.e. LCM of 4942,4028 is 9953188.

GCF of Denominators means GCF of 710,7875 as per the given fractions.

GCF of 710,7875 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4942,4028

LCM of Fractions 4942/710,4028/7875 is 9953188/5

2 4942, 4028
2471, 2014

∴ So the LCM of the given numbers is 2 x 2471 x 2014 = 9953188

Least Common Multiple of 4942,4028 with GCF Formula

Least Common Multiple of 4942,4028 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 4942,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4942,4028) = 2

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

GCF(4942,4028) x common factors =2 x 1 = 2

LCM(4942,4028) = ( 4942 × 4028 ) / 2

LCM(4942,4028) = 19906376 / 2

LCM(4942,4028) = 9953188


Lets's calculate GCF of 710,7875

5 710, 7875
142, 1575

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9953188/5

Therefore the LCM of Fractions 4942/710,4028/7875 is 9953188/5

Greatest Common Factor of 710,7875 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,7875 By Matching Biggest Common Factor Method

Factors of 710

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

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

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875

Greatest Common Factor

We found the factors 710,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 710,7875 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4942/710, 4028/7875

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 4942/710, 4028/7875?

Answer: LCM of Numerators as per given numbers 4942/710, 4028/7875 is

LCM of Numerators i.e. for 4942,4028 is 9953188

GCF of denominators i.e. for 710,7875 is 5.

Thus, LCM of Fractions is 9953188/5.Finally, LCM of Fractions for 4942/710, 4028/7875 is 9953188/5.