Least Common Multiple of 6302/273, 8757/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6302/273, 8757/958 quickly i.e. 55186614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6302/273, 8757/958 is 55186614.

LCM(6302/273, 8757/958) = 55186614

LCM of 6302/273, 8757/958

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 6302/273,8757/958

Given numbers are 6302/273,8757/958

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 6302,8757

Least Common Multiple of Numerators i.e. LCM of 6302,8757 is 55186614.

GCF of Denominators means GCF of 273,958 as per the given fractions.

GCF of 273,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6302,8757

LCM of Fractions 6302/273,8757/958 is 55186614

Given numbers has no common factors except 1. So, there LCM is their product i.e 55186614

Least Common Multiple of 6302,8757 with GCF Formula

Least Common Multiple of 6302,8757 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 6302,8757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6302,8757) = 1

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

GCF(6302,8757) x common factors =1 x 1 = 1

LCM(6302,8757) = ( 6302 × 8757 ) / 1

LCM(6302,8757) = 55186614 / 1

LCM(6302,8757) = 55186614


Lets's calculate GCF of 273,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55186614/1

Therefore the LCM of Fractions 6302/273,8757/958 is 55186614

Greatest Common Factor of 273,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,958 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 273,958 . The biggest common factor number is the GCF number.
So the greatest common factor 273,958 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6302/273, 8757/958

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 6302/273, 8757/958?

Answer: LCM of Numerators as per given numbers 6302/273, 8757/958 is

LCM of Numerators i.e. for 6302,8757 is 55186614

GCF of denominators i.e. for 273,958 is 1.

Thus, LCM of Fractions is 55186614.Finally, LCM of Fractions for 6302/273, 8757/958 is 55186614.