Least Common Multiple of 87/17, 676/84, 324/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/17, 676/84, 324/339 quickly i.e. 1587924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/17, 676/84, 324/339 is 1587924.

LCM(87/17, 676/84, 324/339) = 1587924

LCM of 87/17, 676/84, 324/339

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 87/17,676/84,324/339

Given numbers are 87/17,676/84,324/339

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 87,676,324

Least Common Multiple of Numerators i.e. LCM of 87,676,324 is 1587924.

GCF of Denominators means GCF of 17,84,339 as per the given fractions.

GCF of 17,84,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,676,324

LCM of Fractions 87/17,676/84,324/339 is 1587924

2 87, 676, 324
2 87, 338, 162
3 87, 169, 81
29, 169, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 169 x 27 = 1587924

Least Common Multiple of 87,676,324 with GCF Formula

Least Common Multiple of 87,676,324 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 87,676,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,676,324) = 1

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

GCF(87,676,324) x common factors =1 x 12 = 12

LCM(87,676,324) = ( 87 × 676 × 324 ) / 12

LCM(87,676,324) = 19055088 / 12

LCM(87,676,324) = 1587924


Lets's calculate GCF of 17,84,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1587924/1

Therefore the LCM of Fractions 87/17,676/84,324/339 is 1587924

Greatest Common Factor of 17,84,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,84,339 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 17,84,339 . The biggest common factor number is the GCF number.
So the greatest common factor 17,84,339 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 87/17, 676/84, 324/339

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 87/17, 676/84, 324/339?

Answer: LCM of Numerators as per given numbers 87/17, 676/84, 324/339 is

LCM of Numerators i.e. for 87,676,324 is 1587924

GCF of denominators i.e. for 17,84,339 is 1.

Thus, LCM of Fractions is 1587924.Finally, LCM of Fractions for 87/17, 676/84, 324/339 is 1587924.