Least Common Multiple of 724/17, 397/41, 814/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/17, 397/41, 814/906 quickly i.e. 116983196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/17, 397/41, 814/906 is 116983196.

LCM(724/17, 397/41, 814/906) = 116983196

LCM of 724/17, 397/41, 814/906

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 724/17,397/41,814/906

Given numbers are 724/17,397/41,814/906

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 724,397,814

Least Common Multiple of Numerators i.e. LCM of 724,397,814 is 116983196.

GCF of Denominators means GCF of 17,41,906 as per the given fractions.

GCF of 17,41,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,397,814

LCM of Fractions 724/17,397/41,814/906 is 116983196

2 724, 397, 814
362, 397, 407

∴ So the LCM of the given numbers is 2 x 362 x 397 x 407 = 116983196

Least Common Multiple of 724,397,814 with GCF Formula

Least Common Multiple of 724,397,814 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 724,397,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,397,814) = 1

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

GCF(724,397,814) x common factors =1 x 2 = 2

LCM(724,397,814) = ( 724 × 397 × 814 ) / 2

LCM(724,397,814) = 233966392 / 2

LCM(724,397,814) = 116983196


Lets's calculate GCF of 17,41,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116983196/1

Therefore the LCM of Fractions 724/17,397/41,814/906 is 116983196

Greatest Common Factor of 17,41,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,41,906 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 17,41,906 . The biggest common factor number is the GCF number.
So the greatest common factor 17,41,906 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 724/17, 397/41, 814/906

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 724/17, 397/41, 814/906?

Answer: LCM of Numerators as per given numbers 724/17, 397/41, 814/906 is

LCM of Numerators i.e. for 724,397,814 is 116983196

GCF of denominators i.e. for 17,41,906 is 1.

Thus, LCM of Fractions is 116983196.Finally, LCM of Fractions for 724/17, 397/41, 814/906 is 116983196.