Least Common Multiple of 87/82, 34/72, 14/37, 57/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/82, 34/72, 14/37, 57/487 quickly i.e. 393414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/82, 34/72, 14/37, 57/487 is 393414.

LCM(87/82, 34/72, 14/37, 57/487) = 393414

LCM of 87/82, 34/72, 14/37, 57/487

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 87/82,34/72,14/37,57/487

Given numbers are 87/82,34/72,14/37,57/487

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 87,34,14,57

Least Common Multiple of Numerators i.e. LCM of 87,34,14,57 is 393414.

GCF of Denominators means GCF of 82,72,37,487 as per the given fractions.

GCF of 82,72,37,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,14,57

LCM of Fractions 87/82,34/72,14/37,57/487 is 393414

2 87, 34, 14, 57
3 87, 17, 7, 57
29, 17, 7, 19

∴ So the LCM of the given numbers is 2 x 3 x 29 x 17 x 7 x 19 = 393414

Least Common Multiple of 87,34,14,57 with GCF Formula

Least Common Multiple of 87,34,14,57 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 87,34,14,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,14,57) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,34,14,57) x common factors =1 x 6 = 6

LCM(87,34,14,57) = ( 87 × 34 × 14 × 57 ) / 6

LCM(87,34,14,57) = 2360484 / 6

LCM(87,34,14,57) = 393414


Lets's calculate GCF of 82,72,37,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393414/1

Therefore the LCM of Fractions 87/82,34/72,14/37,57/487 is 393414

Greatest Common Factor of 82,72,37,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,72,37,487 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 82,72,37,487 . The biggest common factor number is the GCF number.
So the greatest common factor 82,72,37,487 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 87/82, 34/72, 14/37, 57/487

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 87/82, 34/72, 14/37, 57/487?

Answer: LCM of Numerators as per given numbers 87/82, 34/72, 14/37, 57/487 is

LCM of Numerators i.e. for 87,34,14,57 is 393414

GCF of denominators i.e. for 82,72,37,487 is 1.

Thus, LCM of Fractions is 393414.Finally, LCM of Fractions for 87/82, 34/72, 14/37, 57/487 is 393414.