Least Common Multiple of 6301/354, 5517/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6301/354, 5517/969 quickly i.e. 11587539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6301/354, 5517/969 is 11587539.

LCM(6301/354, 5517/969) = 11587539

LCM of 6301/354, 5517/969

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 6301/354,5517/969

Given numbers are 6301/354,5517/969

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 6301,5517

Least Common Multiple of Numerators i.e. LCM of 6301,5517 is 34762617.

GCF of Denominators means GCF of 354,969 as per the given fractions.

GCF of 354,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6301,5517

LCM of Fractions 6301/354,5517/969 is 11587539

Given numbers has no common factors except 1. So, there LCM is their product i.e 34762617

Least Common Multiple of 6301,5517 with GCF Formula

Least Common Multiple of 6301,5517 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 6301,5517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6301,5517) = 1

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

GCF(6301,5517) x common factors =1 x 1 = 1

LCM(6301,5517) = ( 6301 × 5517 ) / 1

LCM(6301,5517) = 34762617 / 1

LCM(6301,5517) = 34762617


Lets's calculate GCF of 354,969

3 354, 969
118, 323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34762617/3

Therefore the LCM of Fractions 6301/354,5517/969 is 11587539

Greatest Common Factor of 354,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,969 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 354,969 . The biggest common factor number is the GCF number.
So the greatest common factor 354,969 is 3.


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 6301/354, 5517/969

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 6301/354, 5517/969?

Answer: LCM of Numerators as per given numbers 6301/354, 5517/969 is

LCM of Numerators i.e. for 6301,5517 is 34762617

GCF of denominators i.e. for 354,969 is 3.

Thus, LCM of Fractions is 11587539.Finally, LCM of Fractions for 6301/354, 5517/969 is 11587539.