Least Common Multiple of 2482/23, 7954/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2482/23, 7954/731 quickly i.e. 9870914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2482/23, 7954/731 is 9870914.

LCM(2482/23, 7954/731) = 9870914

LCM of 2482/23, 7954/731

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 2482/23,7954/731

Given numbers are 2482/23,7954/731

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 2482,7954

Least Common Multiple of Numerators i.e. LCM of 2482,7954 is 9870914.

GCF of Denominators means GCF of 23,731 as per the given fractions.

GCF of 23,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2482,7954

LCM of Fractions 2482/23,7954/731 is 9870914

2 2482, 7954
1241, 3977

∴ So the LCM of the given numbers is 2 x 1241 x 3977 = 9870914

Least Common Multiple of 2482,7954 with GCF Formula

Least Common Multiple of 2482,7954 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 2482,7954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2482,7954) = 2

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

GCF(2482,7954) x common factors =2 x 1 = 2

LCM(2482,7954) = ( 2482 × 7954 ) / 2

LCM(2482,7954) = 19741828 / 2

LCM(2482,7954) = 9870914


Lets's calculate GCF of 23,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9870914/1

Therefore the LCM of Fractions 2482/23,7954/731 is 9870914

Greatest Common Factor of 23,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,731 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 23,731 . The biggest common factor number is the GCF number.
So the greatest common factor 23,731 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2482/23, 7954/731

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 2482/23, 7954/731?

Answer: LCM of Numerators as per given numbers 2482/23, 7954/731 is

LCM of Numerators i.e. for 2482,7954 is 9870914

GCF of denominators i.e. for 23,731 is 1.

Thus, LCM of Fractions is 9870914.Finally, LCM of Fractions for 2482/23, 7954/731 is 9870914.