Least Common Multiple of 9407/493, 7929/7339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9407/493, 7929/7339 quickly i.e. 74588103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9407/493, 7929/7339 is 74588103.

LCM(9407/493, 7929/7339) = 74588103

LCM of 9407/493, 7929/7339

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 9407/493,7929/7339

Given numbers are 9407/493,7929/7339

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 9407,7929

Least Common Multiple of Numerators i.e. LCM of 9407,7929 is 74588103.

GCF of Denominators means GCF of 493,7339 as per the given fractions.

GCF of 493,7339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9407,7929

LCM of Fractions 9407/493,7929/7339 is 74588103

Given numbers has no common factors except 1. So, there LCM is their product i.e 74588103

Least Common Multiple of 9407,7929 with GCF Formula

Least Common Multiple of 9407,7929 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 9407,7929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9407,7929) = 1

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

GCF(9407,7929) x common factors =1 x 1 = 1

LCM(9407,7929) = ( 9407 × 7929 ) / 1

LCM(9407,7929) = 74588103 / 1

LCM(9407,7929) = 74588103


Lets's calculate GCF of 493,7339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74588103/1

Therefore the LCM of Fractions 9407/493,7929/7339 is 74588103

Greatest Common Factor of 493,7339 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,7339 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Greatest Common Factor

We found the factors 493,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 493,7339 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 9407/493, 7929/7339

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 9407/493, 7929/7339?

Answer: LCM of Numerators as per given numbers 9407/493, 7929/7339 is

LCM of Numerators i.e. for 9407,7929 is 74588103

GCF of denominators i.e. for 493,7339 is 1.

Thus, LCM of Fractions is 74588103.Finally, LCM of Fractions for 9407/493, 7929/7339 is 74588103.