Least Common Multiple of 9498/410, 7567/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9498/410, 7567/687 quickly i.e. 71871366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9498/410, 7567/687 is 71871366.

LCM(9498/410, 7567/687) = 71871366

LCM of 9498/410, 7567/687

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 9498/410,7567/687

Given numbers are 9498/410,7567/687

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 9498,7567

Least Common Multiple of Numerators i.e. LCM of 9498,7567 is 71871366.

GCF of Denominators means GCF of 410,687 as per the given fractions.

GCF of 410,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9498,7567

LCM of Fractions 9498/410,7567/687 is 71871366

Given numbers has no common factors except 1. So, there LCM is their product i.e 71871366

Least Common Multiple of 9498,7567 with GCF Formula

Least Common Multiple of 9498,7567 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 9498,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9498,7567) = 1

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

GCF(9498,7567) x common factors =1 x 1 = 1

LCM(9498,7567) = ( 9498 × 7567 ) / 1

LCM(9498,7567) = 71871366 / 1

LCM(9498,7567) = 71871366


Lets's calculate GCF of 410,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71871366/1

Therefore the LCM of Fractions 9498/410,7567/687 is 71871366

Greatest Common Factor of 410,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,687 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 410,687 . The biggest common factor number is the GCF number.
So the greatest common factor 410,687 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 9498/410, 7567/687

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 9498/410, 7567/687?

Answer: LCM of Numerators as per given numbers 9498/410, 7567/687 is

LCM of Numerators i.e. for 9498,7567 is 71871366

GCF of denominators i.e. for 410,687 is 1.

Thus, LCM of Fractions is 71871366.Finally, LCM of Fractions for 9498/410, 7567/687 is 71871366.