Least Common Multiple of 712/100, 365/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/100, 365/215 quickly i.e. 51976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/100, 365/215 is 51976.

LCM(712/100, 365/215) = 51976

LCM of 712/100, 365/215

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 712/100,365/215

Given numbers are 712/100,365/215

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 712,365

Least Common Multiple of Numerators i.e. LCM of 712,365 is 259880.

GCF of Denominators means GCF of 100,215 as per the given fractions.

GCF of 100,215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,365

LCM of Fractions 712/100,365/215 is 51976

Given numbers has no common factors except 1. So, there LCM is their product i.e 259880

Least Common Multiple of 712,365 with GCF Formula

Least Common Multiple of 712,365 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 712,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,365) = 1

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

GCF(712,365) x common factors =1 x 1 = 1

LCM(712,365) = ( 712 × 365 ) / 1

LCM(712,365) = 259880 / 1

LCM(712,365) = 259880


Lets's calculate GCF of 100,215

5 100, 215
20, 43

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259880/5

Therefore the LCM of Fractions 712/100,365/215 is 51976

Greatest Common Factor of 100,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,215 By Matching Biggest Common Factor Method

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

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 100,215 . The biggest common factor number is the GCF number.
So the greatest common factor 100,215 is 5.


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 712/100, 365/215

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 712/100, 365/215?

Answer: LCM of Numerators as per given numbers 712/100, 365/215 is

LCM of Numerators i.e. for 712,365 is 259880

GCF of denominators i.e. for 100,215 is 5.

Thus, LCM of Fractions is 51976.Finally, LCM of Fractions for 712/100, 365/215 is 51976.