Least Common Multiple of 7152/113, 8227/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7152/113, 8227/971 quickly i.e. 58839504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7152/113, 8227/971 is 58839504.

LCM(7152/113, 8227/971) = 58839504

LCM of 7152/113, 8227/971

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 7152/113,8227/971

Given numbers are 7152/113,8227/971

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 7152,8227

Least Common Multiple of Numerators i.e. LCM of 7152,8227 is 58839504.

GCF of Denominators means GCF of 113,971 as per the given fractions.

GCF of 113,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7152,8227

LCM of Fractions 7152/113,8227/971 is 58839504

Given numbers has no common factors except 1. So, there LCM is their product i.e 58839504

Least Common Multiple of 7152,8227 with GCF Formula

Least Common Multiple of 7152,8227 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 7152,8227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7152,8227) = 1

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

GCF(7152,8227) x common factors =1 x 1 = 1

LCM(7152,8227) = ( 7152 × 8227 ) / 1

LCM(7152,8227) = 58839504 / 1

LCM(7152,8227) = 58839504


Lets's calculate GCF of 113,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58839504/1

Therefore the LCM of Fractions 7152/113,8227/971 is 58839504

Greatest Common Factor of 113,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,971 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 113,971 . The biggest common factor number is the GCF number.
So the greatest common factor 113,971 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 7152/113, 8227/971

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 7152/113, 8227/971?

Answer: LCM of Numerators as per given numbers 7152/113, 8227/971 is

LCM of Numerators i.e. for 7152,8227 is 58839504

GCF of denominators i.e. for 113,971 is 1.

Thus, LCM of Fractions is 58839504.Finally, LCM of Fractions for 7152/113, 8227/971 is 58839504.