Least Common Multiple of 5424/838, 3971/7810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5424/838, 3971/7810 quickly i.e. 10769352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5424/838, 3971/7810 is 10769352.

LCM(5424/838, 3971/7810) = 10769352

LCM of 5424/838, 3971/7810

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 5424/838,3971/7810

Given numbers are 5424/838,3971/7810

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 5424,3971

Least Common Multiple of Numerators i.e. LCM of 5424,3971 is 21538704.

GCF of Denominators means GCF of 838,7810 as per the given fractions.

GCF of 838,7810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5424,3971

LCM of Fractions 5424/838,3971/7810 is 10769352

Given numbers has no common factors except 1. So, there LCM is their product i.e 21538704

Least Common Multiple of 5424,3971 with GCF Formula

Least Common Multiple of 5424,3971 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 5424,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5424,3971) = 1

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

GCF(5424,3971) x common factors =1 x 1 = 1

LCM(5424,3971) = ( 5424 × 3971 ) / 1

LCM(5424,3971) = 21538704 / 1

LCM(5424,3971) = 21538704


Lets's calculate GCF of 838,7810

2 838, 7810
419, 3905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21538704/2

Therefore the LCM of Fractions 5424/838,3971/7810 is 10769352

Greatest Common Factor of 838,7810 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,7810 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 7810

List of positive integer factors of 7810 that divides 7810 without a remainder.

1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810

Greatest Common Factor

We found the factors 838,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 838,7810 is 2.


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 5424/838, 3971/7810

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 5424/838, 3971/7810?

Answer: LCM of Numerators as per given numbers 5424/838, 3971/7810 is

LCM of Numerators i.e. for 5424,3971 is 21538704

GCF of denominators i.e. for 838,7810 is 2.

Thus, LCM of Fractions is 10769352.Finally, LCM of Fractions for 5424/838, 3971/7810 is 10769352.