Least Common Multiple of 578/317, 5043/5442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/317, 5043/5442 quickly i.e. 2914854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/317, 5043/5442 is 2914854.

LCM(578/317, 5043/5442) = 2914854

LCM of 578/317, 5043/5442

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 578/317,5043/5442

Given numbers are 578/317,5043/5442

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 578,5043

Least Common Multiple of Numerators i.e. LCM of 578,5043 is 2914854.

GCF of Denominators means GCF of 317,5442 as per the given fractions.

GCF of 317,5442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,5043

LCM of Fractions 578/317,5043/5442 is 2914854

Given numbers has no common factors except 1. So, there LCM is their product i.e 2914854

Least Common Multiple of 578,5043 with GCF Formula

Least Common Multiple of 578,5043 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 578,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,5043) = 1

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

GCF(578,5043) x common factors =1 x 1 = 1

LCM(578,5043) = ( 578 × 5043 ) / 1

LCM(578,5043) = 2914854 / 1

LCM(578,5043) = 2914854


Lets's calculate GCF of 317,5442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2914854/1

Therefore the LCM of Fractions 578/317,5043/5442 is 2914854

Greatest Common Factor of 317,5442 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,5442 By Matching Biggest Common Factor Method

Factors of 317

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

1,317

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Greatest Common Factor

We found the factors 317,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 317,5442 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 578/317, 5043/5442

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 578/317, 5043/5442?

Answer: LCM of Numerators as per given numbers 578/317, 5043/5442 is

LCM of Numerators i.e. for 578,5043 is 2914854

GCF of denominators i.e. for 317,5442 is 1.

Thus, LCM of Fractions is 2914854.Finally, LCM of Fractions for 578/317, 5043/5442 is 2914854.