Least Common Multiple of 7889/272, 8587/5764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7889/272, 8587/5764 quickly i.e. 67742843/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7889/272, 8587/5764 is 67742843/4.

LCM(7889/272, 8587/5764) = 67742843/4

LCM of 7889/272, 8587/5764

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 7889/272,8587/5764

Given numbers are 7889/272,8587/5764

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 7889,8587

Least Common Multiple of Numerators i.e. LCM of 7889,8587 is 67742843.

GCF of Denominators means GCF of 272,5764 as per the given fractions.

GCF of 272,5764 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7889,8587

LCM of Fractions 7889/272,8587/5764 is 67742843/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 67742843

Least Common Multiple of 7889,8587 with GCF Formula

Least Common Multiple of 7889,8587 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 7889,8587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7889,8587) = 1

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

GCF(7889,8587) x common factors =1 x 1 = 1

LCM(7889,8587) = ( 7889 × 8587 ) / 1

LCM(7889,8587) = 67742843 / 1

LCM(7889,8587) = 67742843


Lets's calculate GCF of 272,5764

2 272, 5764
2 136, 2882
68, 1441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67742843/4

Therefore the LCM of Fractions 7889/272,8587/5764 is 67742843/4

Greatest Common Factor of 272,5764 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,5764 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1,2,4,11,22,44,131,262,524,1441,2882,5764

Greatest Common Factor

We found the factors 272,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 272,5764 is 4.


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 7889/272, 8587/5764

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 7889/272, 8587/5764?

Answer: LCM of Numerators as per given numbers 7889/272, 8587/5764 is

LCM of Numerators i.e. for 7889,8587 is 67742843

GCF of denominators i.e. for 272,5764 is 4.

Thus, LCM of Fractions is 67742843/4.Finally, LCM of Fractions for 7889/272, 8587/5764 is 67742843/4.