Least Common Multiple of 9995/43, 7257/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9995/43, 7257/346 quickly i.e. 72533715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9995/43, 7257/346 is 72533715.

LCM(9995/43, 7257/346) = 72533715

LCM of 9995/43, 7257/346

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 9995/43,7257/346

Given numbers are 9995/43,7257/346

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 9995,7257

Least Common Multiple of Numerators i.e. LCM of 9995,7257 is 72533715.

GCF of Denominators means GCF of 43,346 as per the given fractions.

GCF of 43,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9995,7257

LCM of Fractions 9995/43,7257/346 is 72533715

Given numbers has no common factors except 1. So, there LCM is their product i.e 72533715

Least Common Multiple of 9995,7257 with GCF Formula

Least Common Multiple of 9995,7257 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 9995,7257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9995,7257) = 1

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

GCF(9995,7257) x common factors =1 x 1 = 1

LCM(9995,7257) = ( 9995 × 7257 ) / 1

LCM(9995,7257) = 72533715 / 1

LCM(9995,7257) = 72533715


Lets's calculate GCF of 43,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72533715/1

Therefore the LCM of Fractions 9995/43,7257/346 is 72533715

Greatest Common Factor of 43,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,346 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 43,346 . The biggest common factor number is the GCF number.
So the greatest common factor 43,346 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9995/43, 7257/346

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 9995/43, 7257/346?

Answer: LCM of Numerators as per given numbers 9995/43, 7257/346 is

LCM of Numerators i.e. for 9995,7257 is 72533715

GCF of denominators i.e. for 43,346 is 1.

Thus, LCM of Fractions is 72533715.Finally, LCM of Fractions for 9995/43, 7257/346 is 72533715.