Least Common Multiple of 7972/60, 8182/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7972/60, 8182/100 quickly i.e. 32613452/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7972/60, 8182/100 is 32613452/20.

LCM(7972/60, 8182/100) = 32613452/20

LCM of 7972/60, 8182/100

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 7972/60,8182/100

Given numbers are 7972/60,8182/100

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 7972,8182

Least Common Multiple of Numerators i.e. LCM of 7972,8182 is 32613452.

GCF of Denominators means GCF of 60,100 as per the given fractions.

GCF of 60,100 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7972,8182

LCM of Fractions 7972/60,8182/100 is 32613452/20

2 7972, 8182
3986, 4091

∴ So the LCM of the given numbers is 2 x 3986 x 4091 = 32613452

Least Common Multiple of 7972,8182 with GCF Formula

Least Common Multiple of 7972,8182 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 7972,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7972,8182) = 2

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

GCF(7972,8182) x common factors =2 x 1 = 2

LCM(7972,8182) = ( 7972 × 8182 ) / 2

LCM(7972,8182) = 65226904 / 2

LCM(7972,8182) = 32613452


Lets's calculate GCF of 60,100

2 60, 100
2 30, 50
5 15, 25
3, 5

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32613452/20

Therefore the LCM of Fractions 7972/60,8182/100 is 32613452/20

Greatest Common Factor of 60,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,100 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 60,100 . The biggest common factor number is the GCF number.
So the greatest common factor 60,100 is 20.


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 7972/60, 8182/100

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 7972/60, 8182/100?

Answer: LCM of Numerators as per given numbers 7972/60, 8182/100 is

LCM of Numerators i.e. for 7972,8182 is 32613452

GCF of denominators i.e. for 60,100 is 20.

Thus, LCM of Fractions is 32613452/20.Finally, LCM of Fractions for 7972/60, 8182/100 is 32613452/20.