Least Common Multiple of 546/600, 147/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/600, 147/724 quickly i.e. 3822/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/600, 147/724 is 3822/4.

LCM(546/600, 147/724) = 3822/4

LCM of 546/600, 147/724

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 546/600,147/724

Given numbers are 546/600,147/724

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 546,147

Least Common Multiple of Numerators i.e. LCM of 546,147 is 3822.

GCF of Denominators means GCF of 600,724 as per the given fractions.

GCF of 600,724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,147

LCM of Fractions 546/600,147/724 is 3822/4

3 546, 147
7 182, 49
26, 7

∴ So the LCM of the given numbers is 3 x 7 x 26 x 7 = 3822

Least Common Multiple of 546,147 with GCF Formula

Least Common Multiple of 546,147 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 546,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,147) = 21

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

GCF(546,147) x common factors =21 x 1 = 21

LCM(546,147) = ( 546 × 147 ) / 21

LCM(546,147) = 80262 / 21

LCM(546,147) = 3822


Lets's calculate GCF of 600,724

2 600, 724
2 300, 362
150, 181

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3822/4

Therefore the LCM of Fractions 546/600,147/724 is 3822/4

Greatest Common Factor of 600,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,724 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 600,724 . The biggest common factor number is the GCF number.
So the greatest common factor 600,724 is 4.


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 546/600, 147/724

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 546/600, 147/724?

Answer: LCM of Numerators as per given numbers 546/600, 147/724 is

LCM of Numerators i.e. for 546,147 is 3822

GCF of denominators i.e. for 600,724 is 4.

Thus, LCM of Fractions is 3822/4.Finally, LCM of Fractions for 546/600, 147/724 is 3822/4.