Least Common Multiple of 29/863, 958/340, 874/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/863, 958/340, 874/717 quickly i.e. 12140734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/863, 958/340, 874/717 is 12140734.

LCM(29/863, 958/340, 874/717) = 12140734

LCM of 29/863, 958/340, 874/717

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 29/863,958/340,874/717

Given numbers are 29/863,958/340,874/717

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 29,958,874

Least Common Multiple of Numerators i.e. LCM of 29,958,874 is 12140734.

GCF of Denominators means GCF of 863,340,717 as per the given fractions.

GCF of 863,340,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,958,874

LCM of Fractions 29/863,958/340,874/717 is 12140734

2 29, 958, 874
29, 479, 437

∴ So the LCM of the given numbers is 2 x 29 x 479 x 437 = 12140734

Least Common Multiple of 29,958,874 with GCF Formula

Least Common Multiple of 29,958,874 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 29,958,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,958,874) = 1

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

GCF(29,958,874) x common factors =1 x 2 = 2

LCM(29,958,874) = ( 29 × 958 × 874 ) / 2

LCM(29,958,874) = 24281468 / 2

LCM(29,958,874) = 12140734


Lets's calculate GCF of 863,340,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12140734/1

Therefore the LCM of Fractions 29/863,958/340,874/717 is 12140734

Greatest Common Factor of 863,340,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,340,717 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 863,340,717 . The biggest common factor number is the GCF number.
So the greatest common factor 863,340,717 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 29/863, 958/340, 874/717

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 29/863, 958/340, 874/717?

Answer: LCM of Numerators as per given numbers 29/863, 958/340, 874/717 is

LCM of Numerators i.e. for 29,958,874 is 12140734

GCF of denominators i.e. for 863,340,717 is 1.

Thus, LCM of Fractions is 12140734.Finally, LCM of Fractions for 29/863, 958/340, 874/717 is 12140734.