Least Common Multiple of 14/182, 629/317, 653/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/182, 629/317, 653/342 quickly i.e. 5750318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/182, 629/317, 653/342 is 5750318.

LCM(14/182, 629/317, 653/342) = 5750318

LCM of 14/182, 629/317, 653/342

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 14/182,629/317,653/342

Given numbers are 14/182,629/317,653/342

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 14,629,653

Least Common Multiple of Numerators i.e. LCM of 14,629,653 is 5750318.

GCF of Denominators means GCF of 182,317,342 as per the given fractions.

GCF of 182,317,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,629,653

LCM of Fractions 14/182,629/317,653/342 is 5750318

Given numbers has no common factors except 1. So, there LCM is their product i.e 5750318

Least Common Multiple of 14,629,653 with GCF Formula

Least Common Multiple of 14,629,653 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 14,629,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,629,653) = 1

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

GCF(14,629,653) x common factors =1 x 1 = 1

LCM(14,629,653) = ( 14 × 629 × 653 ) / 1

LCM(14,629,653) = 5750318 / 1

LCM(14,629,653) = 5750318


Lets's calculate GCF of 182,317,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5750318/1

Therefore the LCM of Fractions 14/182,629/317,653/342 is 5750318

Greatest Common Factor of 182,317,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,317,342 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 182,317,342 . The biggest common factor number is the GCF number.
So the greatest common factor 182,317,342 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 14/182, 629/317, 653/342

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 14/182, 629/317, 653/342?

Answer: LCM of Numerators as per given numbers 14/182, 629/317, 653/342 is

LCM of Numerators i.e. for 14,629,653 is 5750318

GCF of denominators i.e. for 182,317,342 is 1.

Thus, LCM of Fractions is 5750318.Finally, LCM of Fractions for 14/182, 629/317, 653/342 is 5750318.