Least Common Multiple of 14/888, 82/293, 987/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/888, 82/293, 987/590 quickly i.e. 80934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/888, 82/293, 987/590 is 80934.

LCM(14/888, 82/293, 987/590) = 80934

LCM of 14/888, 82/293, 987/590

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 14/888,82/293,987/590

Given numbers are 14/888,82/293,987/590

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 14,82,987

Least Common Multiple of Numerators i.e. LCM of 14,82,987 is 80934.

GCF of Denominators means GCF of 888,293,590 as per the given fractions.

GCF of 888,293,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,82,987

LCM of Fractions 14/888,82/293,987/590 is 80934

2 14, 82, 987
7 7, 41, 987
1, 41, 141

∴ So the LCM of the given numbers is 2 x 7 x 1 x 41 x 141 = 80934

Least Common Multiple of 14,82,987 with GCF Formula

Least Common Multiple of 14,82,987 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 14,82,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,82,987) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,82,987) x common factors =1 x 14 = 14

LCM(14,82,987) = ( 14 × 82 × 987 ) / 14

LCM(14,82,987) = 1133076 / 14

LCM(14,82,987) = 80934


Lets's calculate GCF of 888,293,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80934/1

Therefore the LCM of Fractions 14/888,82/293,987/590 is 80934

Greatest Common Factor of 888,293,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,293,590 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 888,293,590 . The biggest common factor number is the GCF number.
So the greatest common factor 888,293,590 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 14/888, 82/293, 987/590

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 14/888, 82/293, 987/590?

Answer: LCM of Numerators as per given numbers 14/888, 82/293, 987/590 is

LCM of Numerators i.e. for 14,82,987 is 80934

GCF of denominators i.e. for 888,293,590 is 1.

Thus, LCM of Fractions is 80934.Finally, LCM of Fractions for 14/888, 82/293, 987/590 is 80934.