Least Common Multiple of 795/49, 918/5777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 795/49, 918/5777 quickly i.e. 243270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/49, 918/5777 is 243270.

LCM(795/49, 918/5777) = 243270

LCM of 795/49, 918/5777

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 795/49,918/5777

Given numbers are 795/49,918/5777

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 795,918

Least Common Multiple of Numerators i.e. LCM of 795,918 is 243270.

GCF of Denominators means GCF of 49,5777 as per the given fractions.

GCF of 49,5777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,918

LCM of Fractions 795/49,918/5777 is 243270

3 795, 918
265, 306

∴ So the LCM of the given numbers is 3 x 265 x 306 = 243270

Least Common Multiple of 795,918 with GCF Formula

Least Common Multiple of 795,918 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 795,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,918) = 3

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

GCF(795,918) x common factors =3 x 1 = 3

LCM(795,918) = ( 795 × 918 ) / 3

LCM(795,918) = 729810 / 3

LCM(795,918) = 243270


Lets's calculate GCF of 49,5777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243270/1

Therefore the LCM of Fractions 795/49,918/5777 is 243270

Greatest Common Factor of 49,5777 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,5777 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 5777

List of positive integer factors of 5777 that divides 5777 without a remainder.

1,53,109,5777

Greatest Common Factor

We found the factors 49,5777 . The biggest common factor number is the GCF number.
So the greatest common factor 49,5777 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 795/49, 918/5777

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 795/49, 918/5777?

Answer: LCM of Numerators as per given numbers 795/49, 918/5777 is

LCM of Numerators i.e. for 795,918 is 243270

GCF of denominators i.e. for 49,5777 is 1.

Thus, LCM of Fractions is 243270.Finally, LCM of Fractions for 795/49, 918/5777 is 243270.