Least Common Multiple of 721/461, 546/208, 276/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/461, 546/208, 276/241 quickly i.e. 2586948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/461, 546/208, 276/241 is 2586948.

LCM(721/461, 546/208, 276/241) = 2586948

LCM of 721/461, 546/208, 276/241

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 721/461,546/208,276/241

Given numbers are 721/461,546/208,276/241

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 721,546,276

Least Common Multiple of Numerators i.e. LCM of 721,546,276 is 2586948.

GCF of Denominators means GCF of 461,208,241 as per the given fractions.

GCF of 461,208,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,546,276

LCM of Fractions 721/461,546/208,276/241 is 2586948

2 721, 546, 276
3 721, 273, 138
7 721, 91, 46
103, 13, 46

∴ So the LCM of the given numbers is 2 x 3 x 7 x 103 x 13 x 46 = 2586948

Least Common Multiple of 721,546,276 with GCF Formula

Least Common Multiple of 721,546,276 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 721,546,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,546,276) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(721,546,276) x common factors =1 x 42 = 42

LCM(721,546,276) = ( 721 × 546 × 276 ) / 42

LCM(721,546,276) = 108651816 / 42

LCM(721,546,276) = 2586948


Lets's calculate GCF of 461,208,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2586948/1

Therefore the LCM of Fractions 721/461,546/208,276/241 is 2586948

Greatest Common Factor of 461,208,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,208,241 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 461,208,241 . The biggest common factor number is the GCF number.
So the greatest common factor 461,208,241 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 721/461, 546/208, 276/241

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 721/461, 546/208, 276/241?

Answer: LCM of Numerators as per given numbers 721/461, 546/208, 276/241 is

LCM of Numerators i.e. for 721,546,276 is 2586948

GCF of denominators i.e. for 461,208,241 is 1.

Thus, LCM of Fractions is 2586948.Finally, LCM of Fractions for 721/461, 546/208, 276/241 is 2586948.