Least Common Multiple of 65/30, 22/117, 728/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/30, 22/117, 728/119 quickly i.e. 40040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/30, 22/117, 728/119 is 40040.

LCM(65/30, 22/117, 728/119) = 40040

LCM of 65/30, 22/117, 728/119

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 65/30,22/117,728/119

Given numbers are 65/30,22/117,728/119

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 65,22,728

Least Common Multiple of Numerators i.e. LCM of 65,22,728 is 40040.

GCF of Denominators means GCF of 30,117,119 as per the given fractions.

GCF of 30,117,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,22,728

LCM of Fractions 65/30,22/117,728/119 is 40040

2 65, 22, 728
13 65, 11, 364
5, 11, 28

∴ So the LCM of the given numbers is 2 x 13 x 5 x 11 x 28 = 40040

Least Common Multiple of 65,22,728 with GCF Formula

Least Common Multiple of 65,22,728 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 65,22,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,22,728) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(65,22,728) x common factors =1 x 26 = 26

LCM(65,22,728) = ( 65 × 22 × 728 ) / 26

LCM(65,22,728) = 1041040 / 26

LCM(65,22,728) = 40040


Lets's calculate GCF of 30,117,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40040/1

Therefore the LCM of Fractions 65/30,22/117,728/119 is 40040

Greatest Common Factor of 30,117,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,117,119 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 30,117,119 . The biggest common factor number is the GCF number.
So the greatest common factor 30,117,119 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 65/30, 22/117, 728/119

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 65/30, 22/117, 728/119?

Answer: LCM of Numerators as per given numbers 65/30, 22/117, 728/119 is

LCM of Numerators i.e. for 65,22,728 is 40040

GCF of denominators i.e. for 30,117,119 is 1.

Thus, LCM of Fractions is 40040.Finally, LCM of Fractions for 65/30, 22/117, 728/119 is 40040.