Least Common Multiple of 353/21, 721/2735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/21, 721/2735 quickly i.e. 254513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/21, 721/2735 is 254513.

LCM(353/21, 721/2735) = 254513

LCM of 353/21, 721/2735

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 353/21,721/2735

Given numbers are 353/21,721/2735

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 353,721

Least Common Multiple of Numerators i.e. LCM of 353,721 is 254513.

GCF of Denominators means GCF of 21,2735 as per the given fractions.

GCF of 21,2735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,721

LCM of Fractions 353/21,721/2735 is 254513

Given numbers has no common factors except 1. So, there LCM is their product i.e 254513

Least Common Multiple of 353,721 with GCF Formula

Least Common Multiple of 353,721 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 353,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,721) = 1

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

GCF(353,721) x common factors =1 x 1 = 1

LCM(353,721) = ( 353 × 721 ) / 1

LCM(353,721) = 254513 / 1

LCM(353,721) = 254513


Lets's calculate GCF of 21,2735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254513/1

Therefore the LCM of Fractions 353/21,721/2735 is 254513

Greatest Common Factor of 21,2735 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,2735 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1,5,547,2735

Greatest Common Factor

We found the factors 21,2735 . The biggest common factor number is the GCF number.
So the greatest common factor 21,2735 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 353/21, 721/2735

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 353/21, 721/2735?

Answer: LCM of Numerators as per given numbers 353/21, 721/2735 is

LCM of Numerators i.e. for 353,721 is 254513

GCF of denominators i.e. for 21,2735 is 1.

Thus, LCM of Fractions is 254513.Finally, LCM of Fractions for 353/21, 721/2735 is 254513.