Least Common Multiple of 7649/797, 9395/7178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7649/797, 9395/7178 quickly i.e. 71862355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7649/797, 9395/7178 is 71862355.

LCM(7649/797, 9395/7178) = 71862355

LCM of 7649/797, 9395/7178

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 7649/797,9395/7178

Given numbers are 7649/797,9395/7178

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 7649,9395

Least Common Multiple of Numerators i.e. LCM of 7649,9395 is 71862355.

GCF of Denominators means GCF of 797,7178 as per the given fractions.

GCF of 797,7178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7649,9395

LCM of Fractions 7649/797,9395/7178 is 71862355

Given numbers has no common factors except 1. So, there LCM is their product i.e 71862355

Least Common Multiple of 7649,9395 with GCF Formula

Least Common Multiple of 7649,9395 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 7649,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7649,9395) = 1

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

GCF(7649,9395) x common factors =1 x 1 = 1

LCM(7649,9395) = ( 7649 × 9395 ) / 1

LCM(7649,9395) = 71862355 / 1

LCM(7649,9395) = 71862355


Lets's calculate GCF of 797,7178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71862355/1

Therefore the LCM of Fractions 7649/797,9395/7178 is 71862355

Greatest Common Factor of 797,7178 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,7178 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 7178

List of positive integer factors of 7178 that divides 7178 without a remainder.

1,2,37,74,97,194,3589,7178

Greatest Common Factor

We found the factors 797,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 797,7178 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 7649/797, 9395/7178

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 7649/797, 9395/7178?

Answer: LCM of Numerators as per given numbers 7649/797, 9395/7178 is

LCM of Numerators i.e. for 7649,9395 is 71862355

GCF of denominators i.e. for 797,7178 is 1.

Thus, LCM of Fractions is 71862355.Finally, LCM of Fractions for 7649/797, 9395/7178 is 71862355.