Least Common Multiple of 861/27, 5678/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/27, 5678/116 quickly i.e. 4888758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/27, 5678/116 is 4888758.

LCM(861/27, 5678/116) = 4888758

LCM of 861/27, 5678/116

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 861/27,5678/116

Given numbers are 861/27,5678/116

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 861,5678

Least Common Multiple of Numerators i.e. LCM of 861,5678 is 4888758.

GCF of Denominators means GCF of 27,116 as per the given fractions.

GCF of 27,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,5678

LCM of Fractions 861/27,5678/116 is 4888758

Given numbers has no common factors except 1. So, there LCM is their product i.e 4888758

Least Common Multiple of 861,5678 with GCF Formula

Least Common Multiple of 861,5678 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 861,5678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,5678) = 1

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

GCF(861,5678) x common factors =1 x 1 = 1

LCM(861,5678) = ( 861 × 5678 ) / 1

LCM(861,5678) = 4888758 / 1

LCM(861,5678) = 4888758


Lets's calculate GCF of 27,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4888758/1

Therefore the LCM of Fractions 861/27,5678/116 is 4888758

Greatest Common Factor of 27,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,116 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 27,116 . The biggest common factor number is the GCF number.
So the greatest common factor 27,116 is 1.


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 861/27, 5678/116

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 861/27, 5678/116?

Answer: LCM of Numerators as per given numbers 861/27, 5678/116 is

LCM of Numerators i.e. for 861,5678 is 4888758

GCF of denominators i.e. for 27,116 is 1.

Thus, LCM of Fractions is 4888758.Finally, LCM of Fractions for 861/27, 5678/116 is 4888758.