Least Common Multiple of 3131/616, 9498/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3131/616, 9498/774 quickly i.e. 14869119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3131/616, 9498/774 is 14869119.

LCM(3131/616, 9498/774) = 14869119

LCM of 3131/616, 9498/774

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 3131/616,9498/774

Given numbers are 3131/616,9498/774

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 3131,9498

Least Common Multiple of Numerators i.e. LCM of 3131,9498 is 29738238.

GCF of Denominators means GCF of 616,774 as per the given fractions.

GCF of 616,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3131,9498

LCM of Fractions 3131/616,9498/774 is 14869119

Given numbers has no common factors except 1. So, there LCM is their product i.e 29738238

Least Common Multiple of 3131,9498 with GCF Formula

Least Common Multiple of 3131,9498 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 3131,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3131,9498) = 1

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

GCF(3131,9498) x common factors =1 x 1 = 1

LCM(3131,9498) = ( 3131 × 9498 ) / 1

LCM(3131,9498) = 29738238 / 1

LCM(3131,9498) = 29738238


Lets's calculate GCF of 616,774

2 616, 774
308, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29738238/2

Therefore the LCM of Fractions 3131/616,9498/774 is 14869119

Greatest Common Factor of 616,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,774 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 616,774 . The biggest common factor number is the GCF number.
So the greatest common factor 616,774 is 2.


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 3131/616, 9498/774

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 3131/616, 9498/774?

Answer: LCM of Numerators as per given numbers 3131/616, 9498/774 is

LCM of Numerators i.e. for 3131,9498 is 29738238

GCF of denominators i.e. for 616,774 is 2.

Thus, LCM of Fractions is 14869119.Finally, LCM of Fractions for 3131/616, 9498/774 is 14869119.