Least Common Multiple of 8716/625, 3575/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8716/625, 3575/965 quickly i.e. 6231940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8716/625, 3575/965 is 6231940.

LCM(8716/625, 3575/965) = 6231940

LCM of 8716/625, 3575/965

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 8716/625,3575/965

Given numbers are 8716/625,3575/965

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 8716,3575

Least Common Multiple of Numerators i.e. LCM of 8716,3575 is 31159700.

GCF of Denominators means GCF of 625,965 as per the given fractions.

GCF of 625,965 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8716,3575

LCM of Fractions 8716/625,3575/965 is 6231940

Given numbers has no common factors except 1. So, there LCM is their product i.e 31159700

Least Common Multiple of 8716,3575 with GCF Formula

Least Common Multiple of 8716,3575 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 8716,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8716,3575) = 1

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

GCF(8716,3575) x common factors =1 x 1 = 1

LCM(8716,3575) = ( 8716 × 3575 ) / 1

LCM(8716,3575) = 31159700 / 1

LCM(8716,3575) = 31159700


Lets's calculate GCF of 625,965

5 625, 965
125, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31159700/5

Therefore the LCM of Fractions 8716/625,3575/965 is 6231940

Greatest Common Factor of 625,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,965 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 625,965 . The biggest common factor number is the GCF number.
So the greatest common factor 625,965 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 8716/625, 3575/965

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 8716/625, 3575/965?

Answer: LCM of Numerators as per given numbers 8716/625, 3575/965 is

LCM of Numerators i.e. for 8716,3575 is 31159700

GCF of denominators i.e. for 625,965 is 5.

Thus, LCM of Fractions is 6231940.Finally, LCM of Fractions for 8716/625, 3575/965 is 6231940.