Least Common Multiple of 65/72, 61/14, 58/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/72, 61/14, 58/328 quickly i.e. 114985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/72, 61/14, 58/328 is 114985.

LCM(65/72, 61/14, 58/328) = 114985

LCM of 65/72, 61/14, 58/328

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 65/72,61/14,58/328

Given numbers are 65/72,61/14,58/328

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 65,61,58

Least Common Multiple of Numerators i.e. LCM of 65,61,58 is 229970.

GCF of Denominators means GCF of 72,14,328 as per the given fractions.

GCF of 72,14,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,61,58

LCM of Fractions 65/72,61/14,58/328 is 114985

Given numbers has no common factors except 1. So, there LCM is their product i.e 229970

Least Common Multiple of 65,61,58 with GCF Formula

Least Common Multiple of 65,61,58 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 65,61,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,61,58) = 1

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

GCF(65,61,58) x common factors =1 x 1 = 1

LCM(65,61,58) = ( 65 × 61 × 58 ) / 1

LCM(65,61,58) = 229970 / 1

LCM(65,61,58) = 229970


Lets's calculate GCF of 72,14,328

2 72, 14, 328
36, 7, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229970/2

Therefore the LCM of Fractions 65/72,61/14,58/328 is 114985

Greatest Common Factor of 72,14,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,14,328 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 72,14,328 . The biggest common factor number is the GCF number.
So the greatest common factor 72,14,328 is 2.


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 65/72, 61/14, 58/328

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 65/72, 61/14, 58/328?

Answer: LCM of Numerators as per given numbers 65/72, 61/14, 58/328 is

LCM of Numerators i.e. for 65,61,58 is 229970

GCF of denominators i.e. for 72,14,328 is 2.

Thus, LCM of Fractions is 114985.Finally, LCM of Fractions for 65/72, 61/14, 58/328 is 114985.