Least Common Multiple of 838/195, 8142/5076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/195, 8142/5076 quickly i.e. 1137166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/195, 8142/5076 is 1137166.

LCM(838/195, 8142/5076) = 1137166

LCM of 838/195, 8142/5076

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 838/195,8142/5076

Given numbers are 838/195,8142/5076

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 838,8142

Least Common Multiple of Numerators i.e. LCM of 838,8142 is 3411498.

GCF of Denominators means GCF of 195,5076 as per the given fractions.

GCF of 195,5076 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,8142

LCM of Fractions 838/195,8142/5076 is 1137166

2 838, 8142
419, 4071

∴ So the LCM of the given numbers is 2 x 419 x 4071 = 3411498

Least Common Multiple of 838,8142 with GCF Formula

Least Common Multiple of 838,8142 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 838,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,8142) = 2

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

GCF(838,8142) x common factors =2 x 1 = 2

LCM(838,8142) = ( 838 × 8142 ) / 2

LCM(838,8142) = 6822996 / 2

LCM(838,8142) = 3411498


Lets's calculate GCF of 195,5076

3 195, 5076
65, 1692

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3411498/3

Therefore the LCM of Fractions 838/195,8142/5076 is 1137166

Greatest Common Factor of 195,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,5076 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 195,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 195,5076 is 3.


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 838/195, 8142/5076

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 838/195, 8142/5076?

Answer: LCM of Numerators as per given numbers 838/195, 8142/5076 is

LCM of Numerators i.e. for 838,8142 is 3411498

GCF of denominators i.e. for 195,5076 is 3.

Thus, LCM of Fractions is 1137166.Finally, LCM of Fractions for 838/195, 8142/5076 is 1137166.