Least Common Multiple of 7/27, 868/49, 110/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/27, 868/49, 110/60 quickly i.e. 47740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/27, 868/49, 110/60 is 47740.

LCM(7/27, 868/49, 110/60) = 47740

LCM of 7/27, 868/49, 110/60

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 7/27,868/49,110/60

Given numbers are 7/27,868/49,110/60

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 7,868,110

Least Common Multiple of Numerators i.e. LCM of 7,868,110 is 47740.

GCF of Denominators means GCF of 27,49,60 as per the given fractions.

GCF of 27,49,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,868,110

LCM of Fractions 7/27,868/49,110/60 is 47740

2 7, 868, 110
7 7, 434, 55
1, 62, 55

∴ So the LCM of the given numbers is 2 x 7 x 1 x 62 x 55 = 47740

Least Common Multiple of 7,868,110 with GCF Formula

Least Common Multiple of 7,868,110 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 7,868,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,868,110) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(7,868,110) x common factors =1 x 14 = 14

LCM(7,868,110) = ( 7 × 868 × 110 ) / 14

LCM(7,868,110) = 668360 / 14

LCM(7,868,110) = 47740


Lets's calculate GCF of 27,49,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47740/1

Therefore the LCM of Fractions 7/27,868/49,110/60 is 47740

Greatest Common Factor of 27,49,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,49,60 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 27,49,60 . The biggest common factor number is the GCF number.
So the greatest common factor 27,49,60 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 7/27, 868/49, 110/60

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 7/27, 868/49, 110/60?

Answer: LCM of Numerators as per given numbers 7/27, 868/49, 110/60 is

LCM of Numerators i.e. for 7,868,110 is 47740

GCF of denominators i.e. for 27,49,60 is 1.

Thus, LCM of Fractions is 47740.Finally, LCM of Fractions for 7/27, 868/49, 110/60 is 47740.