Least Common Multiple of 613/867, 5962/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/867, 5962/238 quickly i.e. 3654706/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/867, 5962/238 is 3654706/17.

LCM(613/867, 5962/238) = 3654706/17

LCM of 613/867, 5962/238

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 613/867,5962/238

Given numbers are 613/867,5962/238

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 613,5962

Least Common Multiple of Numerators i.e. LCM of 613,5962 is 3654706.

GCF of Denominators means GCF of 867,238 as per the given fractions.

GCF of 867,238 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,5962

LCM of Fractions 613/867,5962/238 is 3654706/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 3654706

Least Common Multiple of 613,5962 with GCF Formula

Least Common Multiple of 613,5962 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 613,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,5962) = 1

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

GCF(613,5962) x common factors =1 x 1 = 1

LCM(613,5962) = ( 613 × 5962 ) / 1

LCM(613,5962) = 3654706 / 1

LCM(613,5962) = 3654706


Lets's calculate GCF of 867,238

17 867, 238
51, 14

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3654706/17

Therefore the LCM of Fractions 613/867,5962/238 is 3654706/17

Greatest Common Factor of 867,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,238 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 867,238 . The biggest common factor number is the GCF number.
So the greatest common factor 867,238 is 17.


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 613/867, 5962/238

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 613/867, 5962/238?

Answer: LCM of Numerators as per given numbers 613/867, 5962/238 is

LCM of Numerators i.e. for 613,5962 is 3654706

GCF of denominators i.e. for 867,238 is 17.

Thus, LCM of Fractions is 3654706/17.Finally, LCM of Fractions for 613/867, 5962/238 is 3654706/17.