Least Common Multiple of 74/260, 95/407, 116/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/260, 95/407, 116/729 quickly i.e. 407740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/260, 95/407, 116/729 is 407740.

LCM(74/260, 95/407, 116/729) = 407740

LCM of 74/260, 95/407, 116/729

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 74/260,95/407,116/729

Given numbers are 74/260,95/407,116/729

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 74,95,116

Least Common Multiple of Numerators i.e. LCM of 74,95,116 is 407740.

GCF of Denominators means GCF of 260,407,729 as per the given fractions.

GCF of 260,407,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,95,116

LCM of Fractions 74/260,95/407,116/729 is 407740

2 74, 95, 116
37, 95, 58

∴ So the LCM of the given numbers is 2 x 37 x 95 x 58 = 407740

Least Common Multiple of 74,95,116 with GCF Formula

Least Common Multiple of 74,95,116 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 74,95,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,95,116) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,95,116) x common factors =1 x 2 = 2

LCM(74,95,116) = ( 74 × 95 × 116 ) / 2

LCM(74,95,116) = 815480 / 2

LCM(74,95,116) = 407740


Lets's calculate GCF of 260,407,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407740/1

Therefore the LCM of Fractions 74/260,95/407,116/729 is 407740

Greatest Common Factor of 260,407,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,407,729 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 260,407,729 . The biggest common factor number is the GCF number.
So the greatest common factor 260,407,729 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 74/260, 95/407, 116/729

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 74/260, 95/407, 116/729?

Answer: LCM of Numerators as per given numbers 74/260, 95/407, 116/729 is

LCM of Numerators i.e. for 74,95,116 is 407740

GCF of denominators i.e. for 260,407,729 is 1.

Thus, LCM of Fractions is 407740.Finally, LCM of Fractions for 74/260, 95/407, 116/729 is 407740.