Least Common Multiple of 7267/588, 9816/9461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7267/588, 9816/9461 quickly i.e. 71332872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7267/588, 9816/9461 is 71332872.

LCM(7267/588, 9816/9461) = 71332872

LCM of 7267/588, 9816/9461

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 7267/588,9816/9461

Given numbers are 7267/588,9816/9461

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 7267,9816

Least Common Multiple of Numerators i.e. LCM of 7267,9816 is 71332872.

GCF of Denominators means GCF of 588,9461 as per the given fractions.

GCF of 588,9461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7267,9816

LCM of Fractions 7267/588,9816/9461 is 71332872

Given numbers has no common factors except 1. So, there LCM is their product i.e 71332872

Least Common Multiple of 7267,9816 with GCF Formula

Least Common Multiple of 7267,9816 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 7267,9816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7267,9816) = 1

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

GCF(7267,9816) x common factors =1 x 1 = 1

LCM(7267,9816) = ( 7267 × 9816 ) / 1

LCM(7267,9816) = 71332872 / 1

LCM(7267,9816) = 71332872


Lets's calculate GCF of 588,9461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71332872/1

Therefore the LCM of Fractions 7267/588,9816/9461 is 71332872

Greatest Common Factor of 588,9461 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,9461 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1,9461

Greatest Common Factor

We found the factors 588,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 588,9461 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 7267/588, 9816/9461

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 7267/588, 9816/9461?

Answer: LCM of Numerators as per given numbers 7267/588, 9816/9461 is

LCM of Numerators i.e. for 7267,9816 is 71332872

GCF of denominators i.e. for 588,9461 is 1.

Thus, LCM of Fractions is 71332872.Finally, LCM of Fractions for 7267/588, 9816/9461 is 71332872.