Least Common Multiple of 49/537, 9761/4866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/537, 9761/4866 quickly i.e. 478289/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/537, 9761/4866 is 478289/3.

LCM(49/537, 9761/4866) = 478289/3

LCM of 49/537, 9761/4866

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 49/537,9761/4866

Given numbers are 49/537,9761/4866

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 49,9761

Least Common Multiple of Numerators i.e. LCM of 49,9761 is 478289.

GCF of Denominators means GCF of 537,4866 as per the given fractions.

GCF of 537,4866 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,9761

LCM of Fractions 49/537,9761/4866 is 478289/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 478289

Least Common Multiple of 49,9761 with GCF Formula

Least Common Multiple of 49,9761 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 49,9761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,9761) = 1

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

GCF(49,9761) x common factors =1 x 1 = 1

LCM(49,9761) = ( 49 × 9761 ) / 1

LCM(49,9761) = 478289 / 1

LCM(49,9761) = 478289


Lets's calculate GCF of 537,4866

3 537, 4866
179, 1622

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478289/3

Therefore the LCM of Fractions 49/537,9761/4866 is 478289/3

Greatest Common Factor of 537,4866 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,4866 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1,2,3,6,811,1622,2433,4866

Greatest Common Factor

We found the factors 537,4866 . The biggest common factor number is the GCF number.
So the greatest common factor 537,4866 is 3.


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 49/537, 9761/4866

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 49/537, 9761/4866?

Answer: LCM of Numerators as per given numbers 49/537, 9761/4866 is

LCM of Numerators i.e. for 49,9761 is 478289

GCF of denominators i.e. for 537,4866 is 3.

Thus, LCM of Fractions is 478289/3.Finally, LCM of Fractions for 49/537, 9761/4866 is 478289/3.