Least Common Multiple of 49/240, 21/766, 737/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/240, 21/766, 737/101 quickly i.e. 108339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/240, 21/766, 737/101 is 108339.

LCM(49/240, 21/766, 737/101) = 108339

LCM of 49/240, 21/766, 737/101

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 49/240,21/766,737/101

Given numbers are 49/240,21/766,737/101

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 49,21,737

Least Common Multiple of Numerators i.e. LCM of 49,21,737 is 108339.

GCF of Denominators means GCF of 240,766,101 as per the given fractions.

GCF of 240,766,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,21,737

LCM of Fractions 49/240,21/766,737/101 is 108339

7 49, 21, 737
7, 3, 737

∴ So the LCM of the given numbers is 7 x 7 x 3 x 737 = 108339

Least Common Multiple of 49,21,737 with GCF Formula

Least Common Multiple of 49,21,737 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 49,21,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,21,737) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,21,737) x common factors =1 x 7 = 7

LCM(49,21,737) = ( 49 × 21 × 737 ) / 7

LCM(49,21,737) = 758373 / 7

LCM(49,21,737) = 108339


Lets's calculate GCF of 240,766,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108339/1

Therefore the LCM of Fractions 49/240,21/766,737/101 is 108339

Greatest Common Factor of 240,766,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,766,101 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 240,766,101 . The biggest common factor number is the GCF number.
So the greatest common factor 240,766,101 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 49/240, 21/766, 737/101

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 49/240, 21/766, 737/101?

Answer: LCM of Numerators as per given numbers 49/240, 21/766, 737/101 is

LCM of Numerators i.e. for 49,21,737 is 108339

GCF of denominators i.e. for 240,766,101 is 1.

Thus, LCM of Fractions is 108339.Finally, LCM of Fractions for 49/240, 21/766, 737/101 is 108339.