Least Common Multiple of 938/86, 165/2794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/86, 165/2794 quickly i.e. 77385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/86, 165/2794 is 77385.

LCM(938/86, 165/2794) = 77385

LCM of 938/86, 165/2794

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 938/86,165/2794

Given numbers are 938/86,165/2794

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 938,165

Least Common Multiple of Numerators i.e. LCM of 938,165 is 154770.

GCF of Denominators means GCF of 86,2794 as per the given fractions.

GCF of 86,2794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,165

LCM of Fractions 938/86,165/2794 is 77385

Given numbers has no common factors except 1. So, there LCM is their product i.e 154770

Least Common Multiple of 938,165 with GCF Formula

Least Common Multiple of 938,165 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 938,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,165) = 1

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

GCF(938,165) x common factors =1 x 1 = 1

LCM(938,165) = ( 938 × 165 ) / 1

LCM(938,165) = 154770 / 1

LCM(938,165) = 154770


Lets's calculate GCF of 86,2794

2 86, 2794
43, 1397

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154770/2

Therefore the LCM of Fractions 938/86,165/2794 is 77385

Greatest Common Factor of 86,2794 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,2794 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 2794

List of positive integer factors of 2794 that divides 2794 without a remainder.

1,2,11,22,127,254,1397,2794

Greatest Common Factor

We found the factors 86,2794 . The biggest common factor number is the GCF number.
So the greatest common factor 86,2794 is 2.


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 938/86, 165/2794

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 938/86, 165/2794?

Answer: LCM of Numerators as per given numbers 938/86, 165/2794 is

LCM of Numerators i.e. for 938,165 is 154770

GCF of denominators i.e. for 86,2794 is 2.

Thus, LCM of Fractions is 77385.Finally, LCM of Fractions for 938/86, 165/2794 is 77385.