Least Common Multiple of 600/96, 584/46, 925/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/96, 584/46, 925/543 quickly i.e. 1620600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/96, 584/46, 925/543 is 1620600.

LCM(600/96, 584/46, 925/543) = 1620600

LCM of 600/96, 584/46, 925/543

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 600/96,584/46,925/543

Given numbers are 600/96,584/46,925/543

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 600,584,925

Least Common Multiple of Numerators i.e. LCM of 600,584,925 is 1620600.

GCF of Denominators means GCF of 96,46,543 as per the given fractions.

GCF of 96,46,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,584,925

LCM of Fractions 600/96,584/46,925/543 is 1620600

2 600, 584, 925
2 300, 292, 925
2 150, 146, 925
5 75, 73, 925
5 15, 73, 185
3, 73, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 3 x 73 x 37 = 1620600

Least Common Multiple of 600,584,925 with GCF Formula

Least Common Multiple of 600,584,925 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 600,584,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,584,925) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(600,584,925) x common factors =1 x 200 = 200

LCM(600,584,925) = ( 600 × 584 × 925 ) / 200

LCM(600,584,925) = 324120000 / 200

LCM(600,584,925) = 1620600


Lets's calculate GCF of 96,46,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1620600/1

Therefore the LCM of Fractions 600/96,584/46,925/543 is 1620600

Greatest Common Factor of 96,46,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,46,543 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 96,46,543 . The biggest common factor number is the GCF number.
So the greatest common factor 96,46,543 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 600/96, 584/46, 925/543

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 600/96, 584/46, 925/543?

Answer: LCM of Numerators as per given numbers 600/96, 584/46, 925/543 is

LCM of Numerators i.e. for 600,584,925 is 1620600

GCF of denominators i.e. for 96,46,543 is 1.

Thus, LCM of Fractions is 1620600.Finally, LCM of Fractions for 600/96, 584/46, 925/543 is 1620600.