Least Common Multiple of 72/915, 94/309, 105/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/915, 94/309, 105/411 quickly i.e. 39480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/915, 94/309, 105/411 is 39480.

LCM(72/915, 94/309, 105/411) = 39480

LCM of 72/915, 94/309, 105/411

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 72/915,94/309,105/411

Given numbers are 72/915,94/309,105/411

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 72,94,105

Least Common Multiple of Numerators i.e. LCM of 72,94,105 is 118440.

GCF of Denominators means GCF of 915,309,411 as per the given fractions.

GCF of 915,309,411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,94,105

LCM of Fractions 72/915,94/309,105/411 is 39480

2 72, 94, 105
3 36, 47, 105
12, 47, 35

∴ So the LCM of the given numbers is 2 x 3 x 12 x 47 x 35 = 118440

Least Common Multiple of 72,94,105 with GCF Formula

Least Common Multiple of 72,94,105 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 72,94,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,94,105) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,94,105) x common factors =1 x 6 = 6

LCM(72,94,105) = ( 72 × 94 × 105 ) / 6

LCM(72,94,105) = 710640 / 6

LCM(72,94,105) = 118440


Lets's calculate GCF of 915,309,411

3 915, 309, 411
305, 103, 137

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/3

Therefore the LCM of Fractions 72/915,94/309,105/411 is 39480

Greatest Common Factor of 915,309,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,309,411 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 915,309,411 . The biggest common factor number is the GCF number.
So the greatest common factor 915,309,411 is 3.


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 72/915, 94/309, 105/411

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 72/915, 94/309, 105/411?

Answer: LCM of Numerators as per given numbers 72/915, 94/309, 105/411 is

LCM of Numerators i.e. for 72,94,105 is 118440

GCF of denominators i.e. for 915,309,411 is 3.

Thus, LCM of Fractions is 39480.Finally, LCM of Fractions for 72/915, 94/309, 105/411 is 39480.