Least Common Multiple of 578/14, 336/9713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/14, 336/9713 quickly i.e. 97104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/14, 336/9713 is 97104.

LCM(578/14, 336/9713) = 97104

LCM of 578/14, 336/9713

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 578/14,336/9713

Given numbers are 578/14,336/9713

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 578,336

Least Common Multiple of Numerators i.e. LCM of 578,336 is 97104.

GCF of Denominators means GCF of 14,9713 as per the given fractions.

GCF of 14,9713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,336

LCM of Fractions 578/14,336/9713 is 97104

2 578, 336
289, 168

∴ So the LCM of the given numbers is 2 x 289 x 168 = 97104

Least Common Multiple of 578,336 with GCF Formula

Least Common Multiple of 578,336 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 578,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,336) = 2

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

GCF(578,336) x common factors =2 x 1 = 2

LCM(578,336) = ( 578 × 336 ) / 2

LCM(578,336) = 194208 / 2

LCM(578,336) = 97104


Lets's calculate GCF of 14,9713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97104/1

Therefore the LCM of Fractions 578/14,336/9713 is 97104

Greatest Common Factor of 14,9713 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,9713 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 9713

List of positive integer factors of 9713 that divides 9713 without a remainder.

1,11,883,9713

Greatest Common Factor

We found the factors 14,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9713 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 578/14, 336/9713

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 578/14, 336/9713?

Answer: LCM of Numerators as per given numbers 578/14, 336/9713 is

LCM of Numerators i.e. for 578,336 is 97104

GCF of denominators i.e. for 14,9713 is 1.

Thus, LCM of Fractions is 97104.Finally, LCM of Fractions for 578/14, 336/9713 is 97104.