Least Common Multiple of 46/574, 5388/9213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/574, 5388/9213 quickly i.e. 123924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/574, 5388/9213 is 123924.

LCM(46/574, 5388/9213) = 123924

LCM of 46/574, 5388/9213

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 46/574,5388/9213

Given numbers are 46/574,5388/9213

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 46,5388

Least Common Multiple of Numerators i.e. LCM of 46,5388 is 123924.

GCF of Denominators means GCF of 574,9213 as per the given fractions.

GCF of 574,9213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,5388

LCM of Fractions 46/574,5388/9213 is 123924

2 46, 5388
23, 2694

∴ So the LCM of the given numbers is 2 x 23 x 2694 = 123924

Least Common Multiple of 46,5388 with GCF Formula

Least Common Multiple of 46,5388 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 46,5388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,5388) = 2

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

GCF(46,5388) x common factors =2 x 1 = 2

LCM(46,5388) = ( 46 × 5388 ) / 2

LCM(46,5388) = 247848 / 2

LCM(46,5388) = 123924


Lets's calculate GCF of 574,9213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123924/1

Therefore the LCM of Fractions 46/574,5388/9213 is 123924

Greatest Common Factor of 574,9213 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,9213 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 9213

List of positive integer factors of 9213 that divides 9213 without a remainder.

1,3,37,83,111,249,3071,9213

Greatest Common Factor

We found the factors 574,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 574,9213 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 46/574, 5388/9213

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 46/574, 5388/9213?

Answer: LCM of Numerators as per given numbers 46/574, 5388/9213 is

LCM of Numerators i.e. for 46,5388 is 123924

GCF of denominators i.e. for 574,9213 is 1.

Thus, LCM of Fractions is 123924.Finally, LCM of Fractions for 46/574, 5388/9213 is 123924.