Least Common Multiple of 84/40, 62/39, 77/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/40, 62/39, 77/288 quickly i.e. 28644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/40, 62/39, 77/288 is 28644.

LCM(84/40, 62/39, 77/288) = 28644

LCM of 84/40, 62/39, 77/288

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 84/40,62/39,77/288

Given numbers are 84/40,62/39,77/288

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 84,62,77

Least Common Multiple of Numerators i.e. LCM of 84,62,77 is 28644.

GCF of Denominators means GCF of 40,39,288 as per the given fractions.

GCF of 40,39,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,62,77

LCM of Fractions 84/40,62/39,77/288 is 28644

2 84, 62, 77
7 42, 31, 77
6, 31, 11

∴ So the LCM of the given numbers is 2 x 7 x 6 x 31 x 11 = 28644

Least Common Multiple of 84,62,77 with GCF Formula

Least Common Multiple of 84,62,77 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 84,62,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,62,77) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(84,62,77) x common factors =1 x 14 = 14

LCM(84,62,77) = ( 84 × 62 × 77 ) / 14

LCM(84,62,77) = 401016 / 14

LCM(84,62,77) = 28644


Lets's calculate GCF of 40,39,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28644/1

Therefore the LCM of Fractions 84/40,62/39,77/288 is 28644

Greatest Common Factor of 40,39,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,39,288 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 39

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

1,3,13,39

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 40,39,288 . The biggest common factor number is the GCF number.
So the greatest common factor 40,39,288 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 84/40, 62/39, 77/288

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 84/40, 62/39, 77/288?

Answer: LCM of Numerators as per given numbers 84/40, 62/39, 77/288 is

LCM of Numerators i.e. for 84,62,77 is 28644

GCF of denominators i.e. for 40,39,288 is 1.

Thus, LCM of Fractions is 28644.Finally, LCM of Fractions for 84/40, 62/39, 77/288 is 28644.