Least Common Multiple of 6967/130, 6683/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6967/130, 6683/663 quickly i.e. 46560461/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6967/130, 6683/663 is 46560461/13.

LCM(6967/130, 6683/663) = 46560461/13

LCM of 6967/130, 6683/663

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 6967/130,6683/663

Given numbers are 6967/130,6683/663

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 6967,6683

Least Common Multiple of Numerators i.e. LCM of 6967,6683 is 46560461.

GCF of Denominators means GCF of 130,663 as per the given fractions.

GCF of 130,663 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6967,6683

LCM of Fractions 6967/130,6683/663 is 46560461/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 46560461

Least Common Multiple of 6967,6683 with GCF Formula

Least Common Multiple of 6967,6683 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 6967,6683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6967,6683) = 1

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

GCF(6967,6683) x common factors =1 x 1 = 1

LCM(6967,6683) = ( 6967 × 6683 ) / 1

LCM(6967,6683) = 46560461 / 1

LCM(6967,6683) = 46560461


Lets's calculate GCF of 130,663

13 130, 663
10, 51

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46560461/13

Therefore the LCM of Fractions 6967/130,6683/663 is 46560461/13

Greatest Common Factor of 130,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,663 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 130,663 . The biggest common factor number is the GCF number.
So the greatest common factor 130,663 is 13.


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 6967/130, 6683/663

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 6967/130, 6683/663?

Answer: LCM of Numerators as per given numbers 6967/130, 6683/663 is

LCM of Numerators i.e. for 6967,6683 is 46560461

GCF of denominators i.e. for 130,663 is 13.

Thus, LCM of Fractions is 46560461/13.Finally, LCM of Fractions for 6967/130, 6683/663 is 46560461/13.