Least Common Multiple of 14/301, 24/283, 279/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/301, 24/283, 279/529 quickly i.e. 15624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/301, 24/283, 279/529 is 15624.

LCM(14/301, 24/283, 279/529) = 15624

LCM of 14/301, 24/283, 279/529

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 14/301,24/283,279/529

Given numbers are 14/301,24/283,279/529

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 14,24,279

Least Common Multiple of Numerators i.e. LCM of 14,24,279 is 15624.

GCF of Denominators means GCF of 301,283,529 as per the given fractions.

GCF of 301,283,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,24,279

LCM of Fractions 14/301,24/283,279/529 is 15624

2 14, 24, 279
3 7, 12, 279
7, 4, 93

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 93 = 15624

Least Common Multiple of 14,24,279 with GCF Formula

Least Common Multiple of 14,24,279 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 14,24,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,24,279) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(14,24,279) x common factors =1 x 6 = 6

LCM(14,24,279) = ( 14 × 24 × 279 ) / 6

LCM(14,24,279) = 93744 / 6

LCM(14,24,279) = 15624


Lets's calculate GCF of 301,283,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15624/1

Therefore the LCM of Fractions 14/301,24/283,279/529 is 15624

Greatest Common Factor of 301,283,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,283,529 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 301,283,529 . The biggest common factor number is the GCF number.
So the greatest common factor 301,283,529 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 14/301, 24/283, 279/529

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 14/301, 24/283, 279/529?

Answer: LCM of Numerators as per given numbers 14/301, 24/283, 279/529 is

LCM of Numerators i.e. for 14,24,279 is 15624

GCF of denominators i.e. for 301,283,529 is 1.

Thus, LCM of Fractions is 15624.Finally, LCM of Fractions for 14/301, 24/283, 279/529 is 15624.