Least Common Multiple of 587/68, 4327/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 587/68, 4327/968 quickly i.e. 2539949/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/68, 4327/968 is 2539949/4.

LCM(587/68, 4327/968) = 2539949/4

LCM of 587/68, 4327/968

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 587/68,4327/968

Given numbers are 587/68,4327/968

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 587,4327

Least Common Multiple of Numerators i.e. LCM of 587,4327 is 2539949.

GCF of Denominators means GCF of 68,968 as per the given fractions.

GCF of 68,968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,4327

LCM of Fractions 587/68,4327/968 is 2539949/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 2539949

Least Common Multiple of 587,4327 with GCF Formula

Least Common Multiple of 587,4327 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 587,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,4327) = 1

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

GCF(587,4327) x common factors =1 x 1 = 1

LCM(587,4327) = ( 587 × 4327 ) / 1

LCM(587,4327) = 2539949 / 1

LCM(587,4327) = 2539949


Lets's calculate GCF of 68,968

2 68, 968
2 34, 484
17, 242

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2539949/4

Therefore the LCM of Fractions 587/68,4327/968 is 2539949/4

Greatest Common Factor of 68,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,968 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 68,968 . The biggest common factor number is the GCF number.
So the greatest common factor 68,968 is 4.


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Frequently Asked Questions on Fractional LCM of 587/68, 4327/968

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 587/68, 4327/968?

Answer: LCM of Numerators as per given numbers 587/68, 4327/968 is

LCM of Numerators i.e. for 587,4327 is 2539949

GCF of denominators i.e. for 68,968 is 4.

Thus, LCM of Fractions is 2539949/4.Finally, LCM of Fractions for 587/68, 4327/968 is 2539949/4.