Least Common Multiple of 853/777, 193/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 853/777, 193/296 quickly i.e. 164629/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 853/777, 193/296 is 164629/37.

LCM(853/777, 193/296) = 164629/37

LCM of 853/777, 193/296

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 853/777,193/296

Given numbers are 853/777,193/296

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 853,193

Least Common Multiple of Numerators i.e. LCM of 853,193 is 164629.

GCF of Denominators means GCF of 777,296 as per the given fractions.

GCF of 777,296 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 853,193

LCM of Fractions 853/777,193/296 is 164629/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 164629

Least Common Multiple of 853,193 with GCF Formula

Least Common Multiple of 853,193 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 853,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,193) = 1

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

GCF(853,193) x common factors =1 x 1 = 1

LCM(853,193) = ( 853 × 193 ) / 1

LCM(853,193) = 164629 / 1

LCM(853,193) = 164629


Lets's calculate GCF of 777,296

37 777, 296
21, 8

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164629/37

Therefore the LCM of Fractions 853/777,193/296 is 164629/37

Greatest Common Factor of 777,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,296 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 777,296 . The biggest common factor number is the GCF number.
So the greatest common factor 777,296 is 37.


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 853/777, 193/296

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 853/777, 193/296?

Answer: LCM of Numerators as per given numbers 853/777, 193/296 is

LCM of Numerators i.e. for 853,193 is 164629

GCF of denominators i.e. for 777,296 is 37.

Thus, LCM of Fractions is 164629/37.Finally, LCM of Fractions for 853/777, 193/296 is 164629/37.