Least Common Multiple of 961/556, 322/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 961/556, 322/779 quickly i.e. 309442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/556, 322/779 is 309442.

LCM(961/556, 322/779) = 309442

LCM of 961/556, 322/779

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 961/556,322/779

Given numbers are 961/556,322/779

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 961,322

Least Common Multiple of Numerators i.e. LCM of 961,322 is 309442.

GCF of Denominators means GCF of 556,779 as per the given fractions.

GCF of 556,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,322

LCM of Fractions 961/556,322/779 is 309442

Given numbers has no common factors except 1. So, there LCM is their product i.e 309442

Least Common Multiple of 961,322 with GCF Formula

Least Common Multiple of 961,322 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 961,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,322) = 1

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

GCF(961,322) x common factors =1 x 1 = 1

LCM(961,322) = ( 961 × 322 ) / 1

LCM(961,322) = 309442 / 1

LCM(961,322) = 309442


Lets's calculate GCF of 556,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309442/1

Therefore the LCM of Fractions 961/556,322/779 is 309442

Greatest Common Factor of 556,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,779 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 556,779 . The biggest common factor number is the GCF number.
So the greatest common factor 556,779 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 961/556, 322/779

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 961/556, 322/779?

Answer: LCM of Numerators as per given numbers 961/556, 322/779 is

LCM of Numerators i.e. for 961,322 is 309442

GCF of denominators i.e. for 556,779 is 1.

Thus, LCM of Fractions is 309442.Finally, LCM of Fractions for 961/556, 322/779 is 309442.