Least Common Multiple of 66/144, 22/743, 239/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/144, 22/743, 239/115 quickly i.e. 15774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/144, 22/743, 239/115 is 15774.

LCM(66/144, 22/743, 239/115) = 15774

LCM of 66/144, 22/743, 239/115

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 66/144,22/743,239/115

Given numbers are 66/144,22/743,239/115

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 66,22,239

Least Common Multiple of Numerators i.e. LCM of 66,22,239 is 15774.

GCF of Denominators means GCF of 144,743,115 as per the given fractions.

GCF of 144,743,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,22,239

LCM of Fractions 66/144,22/743,239/115 is 15774

2 66, 22, 239
11 33, 11, 239
3, 1, 239

∴ So the LCM of the given numbers is 2 x 11 x 3 x 1 x 239 = 15774

Least Common Multiple of 66,22,239 with GCF Formula

Least Common Multiple of 66,22,239 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 66,22,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,22,239) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(66,22,239) x common factors =1 x 22 = 22

LCM(66,22,239) = ( 66 × 22 × 239 ) / 22

LCM(66,22,239) = 347028 / 22

LCM(66,22,239) = 15774


Lets's calculate GCF of 144,743,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15774/1

Therefore the LCM of Fractions 66/144,22/743,239/115 is 15774

Greatest Common Factor of 144,743,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,743,115 By Matching Biggest Common Factor Method

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

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 144,743,115 . The biggest common factor number is the GCF number.
So the greatest common factor 144,743,115 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 66/144, 22/743, 239/115

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 66/144, 22/743, 239/115?

Answer: LCM of Numerators as per given numbers 66/144, 22/743, 239/115 is

LCM of Numerators i.e. for 66,22,239 is 15774

GCF of denominators i.e. for 144,743,115 is 1.

Thus, LCM of Fractions is 15774.Finally, LCM of Fractions for 66/144, 22/743, 239/115 is 15774.