Least Common Multiple of 6991/410, 9646/4101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6991/410, 9646/4101 quickly i.e. 67435186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6991/410, 9646/4101 is 67435186.

LCM(6991/410, 9646/4101) = 67435186

LCM of 6991/410, 9646/4101

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 6991/410,9646/4101

Given numbers are 6991/410,9646/4101

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 6991,9646

Least Common Multiple of Numerators i.e. LCM of 6991,9646 is 67435186.

GCF of Denominators means GCF of 410,4101 as per the given fractions.

GCF of 410,4101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6991,9646

LCM of Fractions 6991/410,9646/4101 is 67435186

Given numbers has no common factors except 1. So, there LCM is their product i.e 67435186

Least Common Multiple of 6991,9646 with GCF Formula

Least Common Multiple of 6991,9646 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 6991,9646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6991,9646) = 1

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

GCF(6991,9646) x common factors =1 x 1 = 1

LCM(6991,9646) = ( 6991 × 9646 ) / 1

LCM(6991,9646) = 67435186 / 1

LCM(6991,9646) = 67435186


Lets's calculate GCF of 410,4101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67435186/1

Therefore the LCM of Fractions 6991/410,9646/4101 is 67435186

Greatest Common Factor of 410,4101 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,4101 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1,3,1367,4101

Greatest Common Factor

We found the factors 410,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 410,4101 is 1.


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 6991/410, 9646/4101

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 6991/410, 9646/4101?

Answer: LCM of Numerators as per given numbers 6991/410, 9646/4101 is

LCM of Numerators i.e. for 6991,9646 is 67435186

GCF of denominators i.e. for 410,4101 is 1.

Thus, LCM of Fractions is 67435186.Finally, LCM of Fractions for 6991/410, 9646/4101 is 67435186.