Least Common Multiple of 6/51, 2/51, 31/38, 60/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/51, 2/51, 31/38, 60/675 quickly i.e. 1860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/51, 2/51, 31/38, 60/675 is 1860.

LCM(6/51, 2/51, 31/38, 60/675) = 1860

LCM of 6/51, 2/51, 31/38, 60/675

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 6/51,2/51,31/38,60/675

Given numbers are 6/51,2/51,31/38,60/675

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 6,2,31,60

Least Common Multiple of Numerators i.e. LCM of 6,2,31,60 is 1860.

GCF of Denominators means GCF of 51,51,38,675 as per the given fractions.

GCF of 51,51,38,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,2,31,60

LCM of Fractions 6/51,2/51,31/38,60/675 is 1860

2 6, 2, 31, 60
3 3, 1, 31, 30
1, 1, 31, 10

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 31 x 10 = 1860

Least Common Multiple of 6,2,31,60 with GCF Formula

Least Common Multiple of 6,2,31,60 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 6,2,31,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,2,31,60) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(6,2,31,60) x common factors =1 x 12 = 12

LCM(6,2,31,60) = ( 6 × 2 × 31 × 60 ) / 12

LCM(6,2,31,60) = 22320 / 12

LCM(6,2,31,60) = 1860


Lets's calculate GCF of 51,51,38,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1860/1

Therefore the LCM of Fractions 6/51,2/51,31/38,60/675 is 1860

Greatest Common Factor of 51,51,38,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,51,38,675 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 51,51,38,675 . The biggest common factor number is the GCF number.
So the greatest common factor 51,51,38,675 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 6/51, 2/51, 31/38, 60/675

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 6/51, 2/51, 31/38, 60/675?

Answer: LCM of Numerators as per given numbers 6/51, 2/51, 31/38, 60/675 is

LCM of Numerators i.e. for 6,2,31,60 is 1860

GCF of denominators i.e. for 51,51,38,675 is 1.

Thus, LCM of Fractions is 1860.Finally, LCM of Fractions for 6/51, 2/51, 31/38, 60/675 is 1860.