Least Common Multiple of 14/593, 92/247, 531/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/593, 92/247, 531/214 quickly i.e. 341964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/593, 92/247, 531/214 is 341964.

LCM(14/593, 92/247, 531/214) = 341964

LCM of 14/593, 92/247, 531/214

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 14/593,92/247,531/214

Given numbers are 14/593,92/247,531/214

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 14,92,531

Least Common Multiple of Numerators i.e. LCM of 14,92,531 is 341964.

GCF of Denominators means GCF of 593,247,214 as per the given fractions.

GCF of 593,247,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,92,531

LCM of Fractions 14/593,92/247,531/214 is 341964

2 14, 92, 531
7, 46, 531

∴ So the LCM of the given numbers is 2 x 7 x 46 x 531 = 341964

Least Common Multiple of 14,92,531 with GCF Formula

Least Common Multiple of 14,92,531 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 14,92,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,92,531) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,92,531) x common factors =1 x 2 = 2

LCM(14,92,531) = ( 14 × 92 × 531 ) / 2

LCM(14,92,531) = 683928 / 2

LCM(14,92,531) = 341964


Lets's calculate GCF of 593,247,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341964/1

Therefore the LCM of Fractions 14/593,92/247,531/214 is 341964

Greatest Common Factor of 593,247,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,247,214 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 593,247,214 . The biggest common factor number is the GCF number.
So the greatest common factor 593,247,214 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 14/593, 92/247, 531/214

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 14/593, 92/247, 531/214?

Answer: LCM of Numerators as per given numbers 14/593, 92/247, 531/214 is

LCM of Numerators i.e. for 14,92,531 is 341964

GCF of denominators i.e. for 593,247,214 is 1.

Thus, LCM of Fractions is 341964.Finally, LCM of Fractions for 14/593, 92/247, 531/214 is 341964.