Least Common Multiple of 9991/161, 7809/3461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9991/161, 7809/3461 quickly i.e. 78019719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9991/161, 7809/3461 is 78019719.

LCM(9991/161, 7809/3461) = 78019719

LCM of 9991/161, 7809/3461

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 9991/161,7809/3461

Given numbers are 9991/161,7809/3461

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 9991,7809

Least Common Multiple of Numerators i.e. LCM of 9991,7809 is 78019719.

GCF of Denominators means GCF of 161,3461 as per the given fractions.

GCF of 161,3461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9991,7809

LCM of Fractions 9991/161,7809/3461 is 78019719

Given numbers has no common factors except 1. So, there LCM is their product i.e 78019719

Least Common Multiple of 9991,7809 with GCF Formula

Least Common Multiple of 9991,7809 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 9991,7809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9991,7809) = 1

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

GCF(9991,7809) x common factors =1 x 1 = 1

LCM(9991,7809) = ( 9991 × 7809 ) / 1

LCM(9991,7809) = 78019719 / 1

LCM(9991,7809) = 78019719


Lets's calculate GCF of 161,3461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78019719/1

Therefore the LCM of Fractions 9991/161,7809/3461 is 78019719

Greatest Common Factor of 161,3461 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,3461 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 3461

List of positive integer factors of 3461 that divides 3461 without a remainder.

1,3461

Greatest Common Factor

We found the factors 161,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 161,3461 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 9991/161, 7809/3461

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 9991/161, 7809/3461?

Answer: LCM of Numerators as per given numbers 9991/161, 7809/3461 is

LCM of Numerators i.e. for 9991,7809 is 78019719

GCF of denominators i.e. for 161,3461 is 1.

Thus, LCM of Fractions is 78019719.Finally, LCM of Fractions for 9991/161, 7809/3461 is 78019719.