Least Common Multiple of 610/546, 2930/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/546, 2930/676 quickly i.e. 178730/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/546, 2930/676 is 178730/26.

LCM(610/546, 2930/676) = 178730/26

LCM of 610/546, 2930/676

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 610/546,2930/676

Given numbers are 610/546,2930/676

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 610,2930

Least Common Multiple of Numerators i.e. LCM of 610,2930 is 178730.

GCF of Denominators means GCF of 546,676 as per the given fractions.

GCF of 546,676 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,2930

LCM of Fractions 610/546,2930/676 is 178730/26

2 610, 2930
5 305, 1465
61, 293

∴ So the LCM of the given numbers is 2 x 5 x 61 x 293 = 178730

Least Common Multiple of 610,2930 with GCF Formula

Least Common Multiple of 610,2930 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 610,2930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,2930) = 10

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

GCF(610,2930) x common factors =10 x 1 = 10

LCM(610,2930) = ( 610 × 2930 ) / 10

LCM(610,2930) = 1787300 / 10

LCM(610,2930) = 178730


Lets's calculate GCF of 546,676

2 546, 676
13 273, 338
21, 26

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178730/26

Therefore the LCM of Fractions 610/546,2930/676 is 178730/26

Greatest Common Factor of 546,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,676 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 546,676 . The biggest common factor number is the GCF number.
So the greatest common factor 546,676 is 26.


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 610/546, 2930/676

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 610/546, 2930/676?

Answer: LCM of Numerators as per given numbers 610/546, 2930/676 is

LCM of Numerators i.e. for 610,2930 is 178730

GCF of denominators i.e. for 546,676 is 26.

Thus, LCM of Fractions is 178730/26.Finally, LCM of Fractions for 610/546, 2930/676 is 178730/26.