Least Common Multiple of 323/14, 987/75, 714/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/14, 987/75, 714/836 quickly i.e. 637602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/14, 987/75, 714/836 is 637602.

LCM(323/14, 987/75, 714/836) = 637602

LCM of 323/14, 987/75, 714/836

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 323/14,987/75,714/836

Given numbers are 323/14,987/75,714/836

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 323,987,714

Least Common Multiple of Numerators i.e. LCM of 323,987,714 is 637602.

GCF of Denominators means GCF of 14,75,836 as per the given fractions.

GCF of 14,75,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,987,714

LCM of Fractions 323/14,987/75,714/836 is 637602

3 323, 987, 714
7 323, 329, 238
17 323, 47, 34
19, 47, 2

∴ So the LCM of the given numbers is 3 x 7 x 17 x 19 x 47 x 2 = 637602

Least Common Multiple of 323,987,714 with GCF Formula

Least Common Multiple of 323,987,714 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 323,987,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,987,714) = 1

common factors(in case of two or more numbers have common factors) = 357

GCF(323,987,714) x common factors =1 x 357 = 357

LCM(323,987,714) = ( 323 × 987 × 714 ) / 357

LCM(323,987,714) = 227623914 / 357

LCM(323,987,714) = 637602


Lets's calculate GCF of 14,75,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637602/1

Therefore the LCM of Fractions 323/14,987/75,714/836 is 637602

Greatest Common Factor of 14,75,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,75,836 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 14,75,836 . The biggest common factor number is the GCF number.
So the greatest common factor 14,75,836 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 323/14, 987/75, 714/836

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 323/14, 987/75, 714/836?

Answer: LCM of Numerators as per given numbers 323/14, 987/75, 714/836 is

LCM of Numerators i.e. for 323,987,714 is 637602

GCF of denominators i.e. for 14,75,836 is 1.

Thus, LCM of Fractions is 637602.Finally, LCM of Fractions for 323/14, 987/75, 714/836 is 637602.