Least Common Multiple of 38/57, 87/42, 87/80, 14/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/57, 87/42, 87/80, 14/956 quickly i.e. 23142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/57, 87/42, 87/80, 14/956 is 23142.

LCM(38/57, 87/42, 87/80, 14/956) = 23142

LCM of 38/57, 87/42, 87/80, 14/956

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 38/57,87/42,87/80,14/956

Given numbers are 38/57,87/42,87/80,14/956

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 38,87,87,14

Least Common Multiple of Numerators i.e. LCM of 38,87,87,14 is 23142.

GCF of Denominators means GCF of 57,42,80,956 as per the given fractions.

GCF of 57,42,80,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,87,87,14

LCM of Fractions 38/57,87/42,87/80,14/956 is 23142

2 38, 87, 87, 14
3 19, 87, 87, 7
29 19, 29, 29, 7
19, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 29 x 19 x 1 x 1 x 7 = 23142

Least Common Multiple of 38,87,87,14 with GCF Formula

Least Common Multiple of 38,87,87,14 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 38,87,87,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,87,87,14) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(38,87,87,14) x common factors =1 x 174 = 174

LCM(38,87,87,14) = ( 38 × 87 × 87 × 14 ) / 174

LCM(38,87,87,14) = 4026708 / 174

LCM(38,87,87,14) = 23142


Lets's calculate GCF of 57,42,80,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23142/1

Therefore the LCM of Fractions 38/57,87/42,87/80,14/956 is 23142

Greatest Common Factor of 57,42,80,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,42,80,956 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 57,42,80,956 . The biggest common factor number is the GCF number.
So the greatest common factor 57,42,80,956 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 38/57, 87/42, 87/80, 14/956

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 38/57, 87/42, 87/80, 14/956?

Answer: LCM of Numerators as per given numbers 38/57, 87/42, 87/80, 14/956 is

LCM of Numerators i.e. for 38,87,87,14 is 23142

GCF of denominators i.e. for 57,42,80,956 is 1.

Thus, LCM of Fractions is 23142.Finally, LCM of Fractions for 38/57, 87/42, 87/80, 14/956 is 23142.