Least Common Multiple of 36/269, 84/108, 288/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/269, 84/108, 288/346 quickly i.e. 2016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/269, 84/108, 288/346 is 2016.

LCM(36/269, 84/108, 288/346) = 2016

LCM of 36/269, 84/108, 288/346

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 36/269,84/108,288/346

Given numbers are 36/269,84/108,288/346

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 36,84,288

Least Common Multiple of Numerators i.e. LCM of 36,84,288 is 2016.

GCF of Denominators means GCF of 269,108,346 as per the given fractions.

GCF of 269,108,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,84,288

LCM of Fractions 36/269,84/108,288/346 is 2016

2 36, 84, 288
2 18, 42, 144
3 9, 21, 72
3 3, 7, 24
1, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 8 = 2016

Least Common Multiple of 36,84,288 with GCF Formula

Least Common Multiple of 36,84,288 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 36,84,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,84,288) = 12

common factors(in case of two or more numbers have common factors) = 36

GCF(36,84,288) x common factors =12 x 36 = 432

LCM(36,84,288) = ( 36 × 84 × 288 ) / 432

LCM(36,84,288) = 870912 / 432

LCM(36,84,288) = 2016


Lets's calculate GCF of 269,108,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2016/1

Therefore the LCM of Fractions 36/269,84/108,288/346 is 2016

Greatest Common Factor of 269,108,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,108,346 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 269,108,346 . The biggest common factor number is the GCF number.
So the greatest common factor 269,108,346 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 36/269, 84/108, 288/346

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 36/269, 84/108, 288/346?

Answer: LCM of Numerators as per given numbers 36/269, 84/108, 288/346 is

LCM of Numerators i.e. for 36,84,288 is 2016

GCF of denominators i.e. for 269,108,346 is 1.

Thus, LCM of Fractions is 2016.Finally, LCM of Fractions for 36/269, 84/108, 288/346 is 2016.