Least Common Multiple of 75/956, 3198/6560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/956, 3198/6560 quickly i.e. 79950/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/956, 3198/6560 is 79950/4.

LCM(75/956, 3198/6560) = 79950/4

LCM of 75/956, 3198/6560

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 75/956,3198/6560

Given numbers are 75/956,3198/6560

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 75,3198

Least Common Multiple of Numerators i.e. LCM of 75,3198 is 79950.

GCF of Denominators means GCF of 956,6560 as per the given fractions.

GCF of 956,6560 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,3198

LCM of Fractions 75/956,3198/6560 is 79950/4

3 75, 3198
25, 1066

∴ So the LCM of the given numbers is 3 x 25 x 1066 = 79950

Least Common Multiple of 75,3198 with GCF Formula

Least Common Multiple of 75,3198 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 75,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,3198) = 3

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

GCF(75,3198) x common factors =3 x 1 = 3

LCM(75,3198) = ( 75 × 3198 ) / 3

LCM(75,3198) = 239850 / 3

LCM(75,3198) = 79950


Lets's calculate GCF of 956,6560

2 956, 6560
2 478, 3280
239, 1640

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79950/4

Therefore the LCM of Fractions 75/956,3198/6560 is 79950/4

Greatest Common Factor of 956,6560 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,6560 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560

Greatest Common Factor

We found the factors 956,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 956,6560 is 4.


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 75/956, 3198/6560

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 75/956, 3198/6560?

Answer: LCM of Numerators as per given numbers 75/956, 3198/6560 is

LCM of Numerators i.e. for 75,3198 is 79950

GCF of denominators i.e. for 956,6560 is 4.

Thus, LCM of Fractions is 79950/4.Finally, LCM of Fractions for 75/956, 3198/6560 is 79950/4.