Least Common Multiple of 28/31, 39/60, 37/51, 42/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/31, 39/60, 37/51, 42/914 quickly i.e. 40404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/31, 39/60, 37/51, 42/914 is 40404.

LCM(28/31, 39/60, 37/51, 42/914) = 40404

LCM of 28/31, 39/60, 37/51, 42/914

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 28/31,39/60,37/51,42/914

Given numbers are 28/31,39/60,37/51,42/914

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 28,39,37,42

Least Common Multiple of Numerators i.e. LCM of 28,39,37,42 is 40404.

GCF of Denominators means GCF of 31,60,51,914 as per the given fractions.

GCF of 31,60,51,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,39,37,42

LCM of Fractions 28/31,39/60,37/51,42/914 is 40404

2 28, 39, 37, 42
3 14, 39, 37, 21
7 14, 13, 37, 7
2, 13, 37, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 13 x 37 x 1 = 40404

Least Common Multiple of 28,39,37,42 with GCF Formula

Least Common Multiple of 28,39,37,42 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 28,39,37,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,39,37,42) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(28,39,37,42) x common factors =1 x 42 = 42

LCM(28,39,37,42) = ( 28 × 39 × 37 × 42 ) / 42

LCM(28,39,37,42) = 1696968 / 42

LCM(28,39,37,42) = 40404


Lets's calculate GCF of 31,60,51,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40404/1

Therefore the LCM of Fractions 28/31,39/60,37/51,42/914 is 40404

Greatest Common Factor of 31,60,51,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,60,51,914 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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

Factors of 51

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

1,3,17,51

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 31,60,51,914 . The biggest common factor number is the GCF number.
So the greatest common factor 31,60,51,914 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 28/31, 39/60, 37/51, 42/914

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 28/31, 39/60, 37/51, 42/914?

Answer: LCM of Numerators as per given numbers 28/31, 39/60, 37/51, 42/914 is

LCM of Numerators i.e. for 28,39,37,42 is 40404

GCF of denominators i.e. for 31,60,51,914 is 1.

Thus, LCM of Fractions is 40404.Finally, LCM of Fractions for 28/31, 39/60, 37/51, 42/914 is 40404.