Least Common Multiple of 208/961, 9896/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/961, 9896/790 quickly i.e. 257296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/961, 9896/790 is 257296.

LCM(208/961, 9896/790) = 257296

LCM of 208/961, 9896/790

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 208/961,9896/790

Given numbers are 208/961,9896/790

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 208,9896

Least Common Multiple of Numerators i.e. LCM of 208,9896 is 257296.

GCF of Denominators means GCF of 961,790 as per the given fractions.

GCF of 961,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,9896

LCM of Fractions 208/961,9896/790 is 257296

2 208, 9896
2 104, 4948
2 52, 2474
26, 1237

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 1237 = 257296

Least Common Multiple of 208,9896 with GCF Formula

Least Common Multiple of 208,9896 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 208,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,9896) = 8

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

GCF(208,9896) x common factors =8 x 1 = 8

LCM(208,9896) = ( 208 × 9896 ) / 8

LCM(208,9896) = 2058368 / 8

LCM(208,9896) = 257296


Lets's calculate GCF of 961,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257296/1

Therefore the LCM of Fractions 208/961,9896/790 is 257296

Greatest Common Factor of 961,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,790 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 961,790 . The biggest common factor number is the GCF number.
So the greatest common factor 961,790 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 208/961, 9896/790

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 208/961, 9896/790?

Answer: LCM of Numerators as per given numbers 208/961, 9896/790 is

LCM of Numerators i.e. for 208,9896 is 257296

GCF of denominators i.e. for 961,790 is 1.

Thus, LCM of Fractions is 257296.Finally, LCM of Fractions for 208/961, 9896/790 is 257296.