Least Common Multiple of 161/31, 746/9793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 161/31, 746/9793 quickly i.e. 120106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/31, 746/9793 is 120106.

LCM(161/31, 746/9793) = 120106

LCM of 161/31, 746/9793

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 161/31,746/9793

Given numbers are 161/31,746/9793

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 161,746

Least Common Multiple of Numerators i.e. LCM of 161,746 is 120106.

GCF of Denominators means GCF of 31,9793 as per the given fractions.

GCF of 31,9793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,746

LCM of Fractions 161/31,746/9793 is 120106

Given numbers has no common factors except 1. So, there LCM is their product i.e 120106

Least Common Multiple of 161,746 with GCF Formula

Least Common Multiple of 161,746 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 161,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,746) = 1

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

GCF(161,746) x common factors =1 x 1 = 1

LCM(161,746) = ( 161 × 746 ) / 1

LCM(161,746) = 120106 / 1

LCM(161,746) = 120106


Lets's calculate GCF of 31,9793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120106/1

Therefore the LCM of Fractions 161/31,746/9793 is 120106

Greatest Common Factor of 31,9793 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,9793 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 9793

List of positive integer factors of 9793 that divides 9793 without a remainder.

1,7,1399,9793

Greatest Common Factor

We found the factors 31,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 31,9793 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 161/31, 746/9793

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 161/31, 746/9793?

Answer: LCM of Numerators as per given numbers 161/31, 746/9793 is

LCM of Numerators i.e. for 161,746 is 120106

GCF of denominators i.e. for 31,9793 is 1.

Thus, LCM of Fractions is 120106.Finally, LCM of Fractions for 161/31, 746/9793 is 120106.