Least Common Multiple of 76/288, 92/280, 339/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/288, 92/280, 339/144 quickly i.e. 592572/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/288, 92/280, 339/144 is 592572/8.

LCM(76/288, 92/280, 339/144) = 592572/8

LCM of 76/288, 92/280, 339/144

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 76/288,92/280,339/144

Given numbers are 76/288,92/280,339/144

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 76,92,339

Least Common Multiple of Numerators i.e. LCM of 76,92,339 is 592572.

GCF of Denominators means GCF of 288,280,144 as per the given fractions.

GCF of 288,280,144 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,92,339

LCM of Fractions 76/288,92/280,339/144 is 592572/8

2 76, 92, 339
2 38, 46, 339
19, 23, 339

∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 339 = 592572

Least Common Multiple of 76,92,339 with GCF Formula

Least Common Multiple of 76,92,339 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 76,92,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,92,339) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,92,339) x common factors =1 x 4 = 4

LCM(76,92,339) = ( 76 × 92 × 339 ) / 4

LCM(76,92,339) = 2370288 / 4

LCM(76,92,339) = 592572


Lets's calculate GCF of 288,280,144

2 288, 280, 144
2 144, 140, 72
2 36, 70, 72
18, 35, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592572/8

Therefore the LCM of Fractions 76/288,92/280,339/144 is 592572/8

Greatest Common Factor of 288,280,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,280,144 By Matching Biggest Common Factor Method

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

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

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

Greatest Common Factor

We found the factors 288,280,144 . The biggest common factor number is the GCF number.
So the greatest common factor 288,280,144 is 8.


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 76/288, 92/280, 339/144

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 76/288, 92/280, 339/144?

Answer: LCM of Numerators as per given numbers 76/288, 92/280, 339/144 is

LCM of Numerators i.e. for 76,92,339 is 592572

GCF of denominators i.e. for 288,280,144 is 8.

Thus, LCM of Fractions is 592572/8.Finally, LCM of Fractions for 76/288, 92/280, 339/144 is 592572/8.