Least Common Multiple of 5/65, 43/144, 67/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/65, 43/144, 67/296 quickly i.e. 14405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/65, 43/144, 67/296 is 14405.

LCM(5/65, 43/144, 67/296) = 14405

LCM of 5/65, 43/144, 67/296

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 5/65,43/144,67/296

Given numbers are 5/65,43/144,67/296

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 5,43,67

Least Common Multiple of Numerators i.e. LCM of 5,43,67 is 14405.

GCF of Denominators means GCF of 65,144,296 as per the given fractions.

GCF of 65,144,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,43,67

LCM of Fractions 5/65,43/144,67/296 is 14405

Given numbers has no common factors except 1. So, there LCM is their product i.e 14405

Least Common Multiple of 5,43,67 with GCF Formula

Least Common Multiple of 5,43,67 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 5,43,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,43,67) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5,43,67) x common factors =1 x 1 = 1

LCM(5,43,67) = ( 5 × 43 × 67 ) / 1

LCM(5,43,67) = 14405 / 1

LCM(5,43,67) = 14405


Lets's calculate GCF of 65,144,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14405/1

Therefore the LCM of Fractions 5/65,43/144,67/296 is 14405

Greatest Common Factor of 65,144,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,144,296 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 65,144,296 . The biggest common factor number is the GCF number.
So the greatest common factor 65,144,296 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 5/65, 43/144, 67/296

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 5/65, 43/144, 67/296?

Answer: LCM of Numerators as per given numbers 5/65, 43/144, 67/296 is

LCM of Numerators i.e. for 5,43,67 is 14405

GCF of denominators i.e. for 65,144,296 is 1.

Thus, LCM of Fractions is 14405.Finally, LCM of Fractions for 5/65, 43/144, 67/296 is 14405.