Least Common Multiple of 38/378, 6282/8979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/378, 6282/8979 quickly i.e. 39786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/378, 6282/8979 is 39786.

LCM(38/378, 6282/8979) = 39786

LCM of 38/378, 6282/8979

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 38/378,6282/8979

Given numbers are 38/378,6282/8979

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 38,6282

Least Common Multiple of Numerators i.e. LCM of 38,6282 is 119358.

GCF of Denominators means GCF of 378,8979 as per the given fractions.

GCF of 378,8979 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,6282

LCM of Fractions 38/378,6282/8979 is 39786

2 38, 6282
19, 3141

∴ So the LCM of the given numbers is 2 x 19 x 3141 = 119358

Least Common Multiple of 38,6282 with GCF Formula

Least Common Multiple of 38,6282 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 38,6282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6282) = 2

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

GCF(38,6282) x common factors =2 x 1 = 2

LCM(38,6282) = ( 38 × 6282 ) / 2

LCM(38,6282) = 238716 / 2

LCM(38,6282) = 119358


Lets's calculate GCF of 378,8979

3 378, 8979
126, 2993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119358/3

Therefore the LCM of Fractions 38/378,6282/8979 is 39786

Greatest Common Factor of 378,8979 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,8979 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 8979

List of positive integer factors of 8979 that divides 8979 without a remainder.

1,3,41,73,123,219,2993,8979

Greatest Common Factor

We found the factors 378,8979 . The biggest common factor number is the GCF number.
So the greatest common factor 378,8979 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 38/378, 6282/8979

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 38/378, 6282/8979?

Answer: LCM of Numerators as per given numbers 38/378, 6282/8979 is

LCM of Numerators i.e. for 38,6282 is 119358

GCF of denominators i.e. for 378,8979 is 3.

Thus, LCM of Fractions is 39786.Finally, LCM of Fractions for 38/378, 6282/8979 is 39786.