Least Common Multiple of 241/139, 792/382, 979/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/139, 792/382, 979/462 quickly i.e. 16987608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/139, 792/382, 979/462 is 16987608.

LCM(241/139, 792/382, 979/462) = 16987608

LCM of 241/139, 792/382, 979/462

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 241/139,792/382,979/462

Given numbers are 241/139,792/382,979/462

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 241,792,979

Least Common Multiple of Numerators i.e. LCM of 241,792,979 is 16987608.

GCF of Denominators means GCF of 139,382,462 as per the given fractions.

GCF of 139,382,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,792,979

LCM of Fractions 241/139,792/382,979/462 is 16987608

11 241, 792, 979
241, 72, 89

∴ So the LCM of the given numbers is 11 x 241 x 72 x 89 = 16987608

Least Common Multiple of 241,792,979 with GCF Formula

Least Common Multiple of 241,792,979 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 241,792,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,792,979) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(241,792,979) x common factors =1 x 11 = 11

LCM(241,792,979) = ( 241 × 792 × 979 ) / 11

LCM(241,792,979) = 186863688 / 11

LCM(241,792,979) = 16987608


Lets's calculate GCF of 139,382,462

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16987608/1

Therefore the LCM of Fractions 241/139,792/382,979/462 is 16987608

Greatest Common Factor of 139,382,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,382,462 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 139,382,462 . The biggest common factor number is the GCF number.
So the greatest common factor 139,382,462 is 1.


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 241/139, 792/382, 979/462

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 241/139, 792/382, 979/462?

Answer: LCM of Numerators as per given numbers 241/139, 792/382, 979/462 is

LCM of Numerators i.e. for 241,792,979 is 16987608

GCF of denominators i.e. for 139,382,462 is 1.

Thus, LCM of Fractions is 16987608.Finally, LCM of Fractions for 241/139, 792/382, 979/462 is 16987608.