Least Common Multiple of 546/159, 2717/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/159, 2717/979 quickly i.e. 114114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/159, 2717/979 is 114114.

LCM(546/159, 2717/979) = 114114

LCM of 546/159, 2717/979

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 546/159,2717/979

Given numbers are 546/159,2717/979

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 546,2717

Least Common Multiple of Numerators i.e. LCM of 546,2717 is 114114.

GCF of Denominators means GCF of 159,979 as per the given fractions.

GCF of 159,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,2717

LCM of Fractions 546/159,2717/979 is 114114

13 546, 2717
42, 209

∴ So the LCM of the given numbers is 13 x 42 x 209 = 114114

Least Common Multiple of 546,2717 with GCF Formula

Least Common Multiple of 546,2717 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 546,2717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,2717) = 13

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

GCF(546,2717) x common factors =13 x 1 = 13

LCM(546,2717) = ( 546 × 2717 ) / 13

LCM(546,2717) = 1483482 / 13

LCM(546,2717) = 114114


Lets's calculate GCF of 159,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114114/1

Therefore the LCM of Fractions 546/159,2717/979 is 114114

Greatest Common Factor of 159,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,979 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 159,979 . The biggest common factor number is the GCF number.
So the greatest common factor 159,979 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 546/159, 2717/979

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 546/159, 2717/979?

Answer: LCM of Numerators as per given numbers 546/159, 2717/979 is

LCM of Numerators i.e. for 546,2717 is 114114

GCF of denominators i.e. for 159,979 is 1.

Thus, LCM of Fractions is 114114.Finally, LCM of Fractions for 546/159, 2717/979 is 114114.