Least Common Multiple of 2721/967, 9258/8732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2721/967, 9258/8732 quickly i.e. 8397006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2721/967, 9258/8732 is 8397006.

LCM(2721/967, 9258/8732) = 8397006

LCM of 2721/967, 9258/8732

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 2721/967,9258/8732

Given numbers are 2721/967,9258/8732

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 2721,9258

Least Common Multiple of Numerators i.e. LCM of 2721,9258 is 8397006.

GCF of Denominators means GCF of 967,8732 as per the given fractions.

GCF of 967,8732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2721,9258

LCM of Fractions 2721/967,9258/8732 is 8397006

3 2721, 9258
907, 3086

∴ So the LCM of the given numbers is 3 x 907 x 3086 = 8397006

Least Common Multiple of 2721,9258 with GCF Formula

Least Common Multiple of 2721,9258 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 2721,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2721,9258) = 3

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

GCF(2721,9258) x common factors =3 x 1 = 3

LCM(2721,9258) = ( 2721 × 9258 ) / 3

LCM(2721,9258) = 25191018 / 3

LCM(2721,9258) = 8397006


Lets's calculate GCF of 967,8732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8397006/1

Therefore the LCM of Fractions 2721/967,9258/8732 is 8397006

Greatest Common Factor of 967,8732 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,8732 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1,2,4,37,59,74,118,148,236,2183,4366,8732

Greatest Common Factor

We found the factors 967,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 967,8732 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2721/967, 9258/8732

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 2721/967, 9258/8732?

Answer: LCM of Numerators as per given numbers 2721/967, 9258/8732 is

LCM of Numerators i.e. for 2721,9258 is 8397006

GCF of denominators i.e. for 967,8732 is 1.

Thus, LCM of Fractions is 8397006.Finally, LCM of Fractions for 2721/967, 9258/8732 is 8397006.