Least Common Multiple of 87/84, 42/51, 78/18, 52/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/84, 42/51, 78/18, 52/39 quickly i.e. 10556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/84, 42/51, 78/18, 52/39 is 10556.

LCM(87/84, 42/51, 78/18, 52/39) = 10556

LCM of 87/84, 42/51, 78/18, 52/39

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 87/84,42/51,78/18,52/39

Given numbers are 87/84,42/51,78/18,52/39

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 87,42,78,52

Least Common Multiple of Numerators i.e. LCM of 87,42,78,52 is 31668.

GCF of Denominators means GCF of 84,51,18,39 as per the given fractions.

GCF of 84,51,18,39 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,42,78,52

LCM of Fractions 87/84,42/51,78/18,52/39 is 10556

2 87, 42, 78, 52
3 87, 21, 39, 26
13 29, 7, 13, 26
29, 7, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 13 x 29 x 7 x 1 x 2 = 31668

Least Common Multiple of 87,42,78,52 with GCF Formula

Least Common Multiple of 87,42,78,52 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 87,42,78,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,42,78,52) = 1

common factors(in case of two or more numbers have common factors) = 468

GCF(87,42,78,52) x common factors =1 x 468 = 468

LCM(87,42,78,52) = ( 87 × 42 × 78 × 52 ) / 468

LCM(87,42,78,52) = 14820624 / 468

LCM(87,42,78,52) = 31668


Lets's calculate GCF of 84,51,18,39

3 84, 51, 18, 39
28, 17, 6, 13

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31668/3

Therefore the LCM of Fractions 87/84,42/51,78/18,52/39 is 10556

Greatest Common Factor of 84,51,18,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,51,18,39 By Matching Biggest Common Factor Method

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 51

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

1,3,17,51

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 84,51,18,39 . The biggest common factor number is the GCF number.
So the greatest common factor 84,51,18,39 is 3.


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 87/84, 42/51, 78/18, 52/39

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 87/84, 42/51, 78/18, 52/39?

Answer: LCM of Numerators as per given numbers 87/84, 42/51, 78/18, 52/39 is

LCM of Numerators i.e. for 87,42,78,52 is 31668

GCF of denominators i.e. for 84,51,18,39 is 3.

Thus, LCM of Fractions is 10556.Finally, LCM of Fractions for 87/84, 42/51, 78/18, 52/39 is 10556.