Least Common Multiple of 8541/743, 9581/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8541/743, 9581/958 quickly i.e. 6294717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8541/743, 9581/958 is 6294717.

LCM(8541/743, 9581/958) = 6294717

LCM of 8541/743, 9581/958

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 8541/743,9581/958

Given numbers are 8541/743,9581/958

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 8541,9581

Least Common Multiple of Numerators i.e. LCM of 8541,9581 is 6294717.

GCF of Denominators means GCF of 743,958 as per the given fractions.

GCF of 743,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8541,9581

LCM of Fractions 8541/743,9581/958 is 6294717

13 8541, 9581
657, 737

∴ So the LCM of the given numbers is 13 x 657 x 737 = 6294717

Least Common Multiple of 8541,9581 with GCF Formula

Least Common Multiple of 8541,9581 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 8541,9581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8541,9581) = 13

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

GCF(8541,9581) x common factors =13 x 1 = 13

LCM(8541,9581) = ( 8541 × 9581 ) / 13

LCM(8541,9581) = 81831321 / 13

LCM(8541,9581) = 6294717


Lets's calculate GCF of 743,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6294717/1

Therefore the LCM of Fractions 8541/743,9581/958 is 6294717

Greatest Common Factor of 743,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,958 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

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 743,958 . The biggest common factor number is the GCF number.
So the greatest common factor 743,958 is 1.


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 8541/743, 9581/958

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 8541/743, 9581/958?

Answer: LCM of Numerators as per given numbers 8541/743, 9581/958 is

LCM of Numerators i.e. for 8541,9581 is 6294717

GCF of denominators i.e. for 743,958 is 1.

Thus, LCM of Fractions is 6294717.Finally, LCM of Fractions for 8541/743, 9581/958 is 6294717.