Least Common Multiple of 14/223, 124/131, 329/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/223, 124/131, 329/759 quickly i.e. 40796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/223, 124/131, 329/759 is 40796.

LCM(14/223, 124/131, 329/759) = 40796

LCM of 14/223, 124/131, 329/759

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 14/223,124/131,329/759

Given numbers are 14/223,124/131,329/759

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 14,124,329

Least Common Multiple of Numerators i.e. LCM of 14,124,329 is 40796.

GCF of Denominators means GCF of 223,131,759 as per the given fractions.

GCF of 223,131,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,124,329

LCM of Fractions 14/223,124/131,329/759 is 40796

2 14, 124, 329
7 7, 62, 329
1, 62, 47

∴ So the LCM of the given numbers is 2 x 7 x 1 x 62 x 47 = 40796

Least Common Multiple of 14,124,329 with GCF Formula

Least Common Multiple of 14,124,329 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 14,124,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,124,329) = 1

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

GCF(14,124,329) x common factors =1 x 14 = 14

LCM(14,124,329) = ( 14 × 124 × 329 ) / 14

LCM(14,124,329) = 571144 / 14

LCM(14,124,329) = 40796


Lets's calculate GCF of 223,131,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40796/1

Therefore the LCM of Fractions 14/223,124/131,329/759 is 40796

Greatest Common Factor of 223,131,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,131,759 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 223,131,759 . The biggest common factor number is the GCF number.
So the greatest common factor 223,131,759 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 14/223, 124/131, 329/759

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 14/223, 124/131, 329/759?

Answer: LCM of Numerators as per given numbers 14/223, 124/131, 329/759 is

LCM of Numerators i.e. for 14,124,329 is 40796

GCF of denominators i.e. for 223,131,759 is 1.

Thus, LCM of Fractions is 40796.Finally, LCM of Fractions for 14/223, 124/131, 329/759 is 40796.