Least Common Multiple of 14/459, 7359/8436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/459, 7359/8436 quickly i.e. 34342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/459, 7359/8436 is 34342.

LCM(14/459, 7359/8436) = 34342

LCM of 14/459, 7359/8436

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 14/459,7359/8436

Given numbers are 14/459,7359/8436

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 14,7359

Least Common Multiple of Numerators i.e. LCM of 14,7359 is 103026.

GCF of Denominators means GCF of 459,8436 as per the given fractions.

GCF of 459,8436 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7359

LCM of Fractions 14/459,7359/8436 is 34342

Given numbers has no common factors except 1. So, there LCM is their product i.e 103026

Least Common Multiple of 14,7359 with GCF Formula

Least Common Multiple of 14,7359 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 14,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7359) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,7359) x common factors =1 x 1 = 1

LCM(14,7359) = ( 14 × 7359 ) / 1

LCM(14,7359) = 103026 / 1

LCM(14,7359) = 103026


Lets's calculate GCF of 459,8436

3 459, 8436
153, 2812

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103026/3

Therefore the LCM of Fractions 14/459,7359/8436 is 34342

Greatest Common Factor of 459,8436 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,8436 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436

Greatest Common Factor

We found the factors 459,8436 . The biggest common factor number is the GCF number.
So the greatest common factor 459,8436 is 3.


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 14/459, 7359/8436

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 14/459, 7359/8436?

Answer: LCM of Numerators as per given numbers 14/459, 7359/8436 is

LCM of Numerators i.e. for 14,7359 is 103026

GCF of denominators i.e. for 459,8436 is 3.

Thus, LCM of Fractions is 34342.Finally, LCM of Fractions for 14/459, 7359/8436 is 34342.