Least Common Multiple of 963/931, 6097/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/931, 6097/749 quickly i.e. 838773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/931, 6097/749 is 838773.

LCM(963/931, 6097/749) = 838773

LCM of 963/931, 6097/749

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 963/931,6097/749

Given numbers are 963/931,6097/749

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 963,6097

Least Common Multiple of Numerators i.e. LCM of 963,6097 is 5871411.

GCF of Denominators means GCF of 931,749 as per the given fractions.

GCF of 931,749 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,6097

LCM of Fractions 963/931,6097/749 is 838773

Given numbers has no common factors except 1. So, there LCM is their product i.e 5871411

Least Common Multiple of 963,6097 with GCF Formula

Least Common Multiple of 963,6097 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 963,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,6097) = 1

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

GCF(963,6097) x common factors =1 x 1 = 1

LCM(963,6097) = ( 963 × 6097 ) / 1

LCM(963,6097) = 5871411 / 1

LCM(963,6097) = 5871411


Lets's calculate GCF of 931,749

7 931, 749
133, 107

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5871411/7

Therefore the LCM of Fractions 963/931,6097/749 is 838773

Greatest Common Factor of 931,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,749 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 931,749 . The biggest common factor number is the GCF number.
So the greatest common factor 931,749 is 7.


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 963/931, 6097/749

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 963/931, 6097/749?

Answer: LCM of Numerators as per given numbers 963/931, 6097/749 is

LCM of Numerators i.e. for 963,6097 is 5871411

GCF of denominators i.e. for 931,749 is 7.

Thus, LCM of Fractions is 838773.Finally, LCM of Fractions for 963/931, 6097/749 is 838773.