Least Common Multiple of 260/48, 737/9942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 260/48, 737/9942 quickly i.e. 191620/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/48, 737/9942 is 191620/6.

LCM(260/48, 737/9942) = 191620/6

LCM of 260/48, 737/9942

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 260/48,737/9942

Given numbers are 260/48,737/9942

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 260,737

Least Common Multiple of Numerators i.e. LCM of 260,737 is 191620.

GCF of Denominators means GCF of 48,9942 as per the given fractions.

GCF of 48,9942 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,737

LCM of Fractions 260/48,737/9942 is 191620/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 191620

Least Common Multiple of 260,737 with GCF Formula

Least Common Multiple of 260,737 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 260,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,737) = 1

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

GCF(260,737) x common factors =1 x 1 = 1

LCM(260,737) = ( 260 × 737 ) / 1

LCM(260,737) = 191620 / 1

LCM(260,737) = 191620


Lets's calculate GCF of 48,9942

2 48, 9942
3 24, 4971
8, 1657

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191620/6

Therefore the LCM of Fractions 260/48,737/9942 is 191620/6

Greatest Common Factor of 48,9942 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,9942 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors 48,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 48,9942 is 6.


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Frequently Asked Questions on Fractional LCM of 260/48, 737/9942

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 260/48, 737/9942?

Answer: LCM of Numerators as per given numbers 260/48, 737/9942 is

LCM of Numerators i.e. for 260,737 is 191620

GCF of denominators i.e. for 48,9942 is 6.

Thus, LCM of Fractions is 191620/6.Finally, LCM of Fractions for 260/48, 737/9942 is 191620/6.