Least Common Multiple of 38/656, 4868/1165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/656, 4868/1165 quickly i.e. 92492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/656, 4868/1165 is 92492.

LCM(38/656, 4868/1165) = 92492

LCM of 38/656, 4868/1165

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 38/656,4868/1165

Given numbers are 38/656,4868/1165

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 38,4868

Least Common Multiple of Numerators i.e. LCM of 38,4868 is 92492.

GCF of Denominators means GCF of 656,1165 as per the given fractions.

GCF of 656,1165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,4868

LCM of Fractions 38/656,4868/1165 is 92492

2 38, 4868
19, 2434

∴ So the LCM of the given numbers is 2 x 19 x 2434 = 92492

Least Common Multiple of 38,4868 with GCF Formula

Least Common Multiple of 38,4868 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 38,4868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,4868) = 2

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

GCF(38,4868) x common factors =2 x 1 = 2

LCM(38,4868) = ( 38 × 4868 ) / 2

LCM(38,4868) = 184984 / 2

LCM(38,4868) = 92492


Lets's calculate GCF of 656,1165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92492/1

Therefore the LCM of Fractions 38/656,4868/1165 is 92492

Greatest Common Factor of 656,1165 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,1165 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1,5,233,1165

Greatest Common Factor

We found the factors 656,1165 . The biggest common factor number is the GCF number.
So the greatest common factor 656,1165 is 1.


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Frequently Asked Questions on Fractional LCM of 38/656, 4868/1165

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 38/656, 4868/1165?

Answer: LCM of Numerators as per given numbers 38/656, 4868/1165 is

LCM of Numerators i.e. for 38,4868 is 92492

GCF of denominators i.e. for 656,1165 is 1.

Thus, LCM of Fractions is 92492.Finally, LCM of Fractions for 38/656, 4868/1165 is 92492.