Least Common Multiple of 108/762, 7038/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/762, 7038/994 quickly i.e. 21114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/762, 7038/994 is 21114.

LCM(108/762, 7038/994) = 21114

LCM of 108/762, 7038/994

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 108/762,7038/994

Given numbers are 108/762,7038/994

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 108,7038

Least Common Multiple of Numerators i.e. LCM of 108,7038 is 42228.

GCF of Denominators means GCF of 762,994 as per the given fractions.

GCF of 762,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,7038

LCM of Fractions 108/762,7038/994 is 21114

2 108, 7038
3 54, 3519
3 18, 1173
6, 391

∴ So the LCM of the given numbers is 2 x 3 x 3 x 6 x 391 = 42228

Least Common Multiple of 108,7038 with GCF Formula

Least Common Multiple of 108,7038 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 108,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,7038) = 18

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

GCF(108,7038) x common factors =18 x 1 = 18

LCM(108,7038) = ( 108 × 7038 ) / 18

LCM(108,7038) = 760104 / 18

LCM(108,7038) = 42228


Lets's calculate GCF of 762,994

2 762, 994
381, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42228/2

Therefore the LCM of Fractions 108/762,7038/994 is 21114

Greatest Common Factor of 762,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,994 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 762,994 . The biggest common factor number is the GCF number.
So the greatest common factor 762,994 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 108/762, 7038/994

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 108/762, 7038/994?

Answer: LCM of Numerators as per given numbers 108/762, 7038/994 is

LCM of Numerators i.e. for 108,7038 is 42228

GCF of denominators i.e. for 762,994 is 2.

Thus, LCM of Fractions is 21114.Finally, LCM of Fractions for 108/762, 7038/994 is 21114.