Least Common Multiple of 374/138, 9979/9082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/138, 9979/9082 quickly i.e. 109769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/138, 9979/9082 is 109769.

LCM(374/138, 9979/9082) = 109769

LCM of 374/138, 9979/9082

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 374/138,9979/9082

Given numbers are 374/138,9979/9082

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 374,9979

Least Common Multiple of Numerators i.e. LCM of 374,9979 is 219538.

GCF of Denominators means GCF of 138,9082 as per the given fractions.

GCF of 138,9082 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,9979

LCM of Fractions 374/138,9979/9082 is 109769

17 374, 9979
22, 587

∴ So the LCM of the given numbers is 17 x 22 x 587 = 219538

Least Common Multiple of 374,9979 with GCF Formula

Least Common Multiple of 374,9979 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 374,9979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,9979) = 17

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

GCF(374,9979) x common factors =17 x 1 = 17

LCM(374,9979) = ( 374 × 9979 ) / 17

LCM(374,9979) = 3732146 / 17

LCM(374,9979) = 219538


Lets's calculate GCF of 138,9082

2 138, 9082
69, 4541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219538/2

Therefore the LCM of Fractions 374/138,9979/9082 is 109769

Greatest Common Factor of 138,9082 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,9082 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1,2,19,38,239,478,4541,9082

Greatest Common Factor

We found the factors 138,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 138,9082 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 374/138, 9979/9082

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 374/138, 9979/9082?

Answer: LCM of Numerators as per given numbers 374/138, 9979/9082 is

LCM of Numerators i.e. for 374,9979 is 219538

GCF of denominators i.e. for 138,9082 is 2.

Thus, LCM of Fractions is 109769.Finally, LCM of Fractions for 374/138, 9979/9082 is 109769.