Least Common Multiple of 54/48, 607/92, 999/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/48, 607/92, 999/230 quickly i.e. 606393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/48, 607/92, 999/230 is 606393.

LCM(54/48, 607/92, 999/230) = 606393

LCM of 54/48, 607/92, 999/230

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 54/48,607/92,999/230

Given numbers are 54/48,607/92,999/230

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 54,607,999

Least Common Multiple of Numerators i.e. LCM of 54,607,999 is 1212786.

GCF of Denominators means GCF of 48,92,230 as per the given fractions.

GCF of 48,92,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,607,999

LCM of Fractions 54/48,607/92,999/230 is 606393

3 54, 607, 999
3 18, 607, 333
3 6, 607, 111
2, 607, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 607 x 37 = 1212786

Least Common Multiple of 54,607,999 with GCF Formula

Least Common Multiple of 54,607,999 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 54,607,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,607,999) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(54,607,999) x common factors =1 x 27 = 27

LCM(54,607,999) = ( 54 × 607 × 999 ) / 27

LCM(54,607,999) = 32745222 / 27

LCM(54,607,999) = 1212786


Lets's calculate GCF of 48,92,230

2 48, 92, 230
24, 46, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1212786/2

Therefore the LCM of Fractions 54/48,607/92,999/230 is 606393

Greatest Common Factor of 48,92,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,92,230 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 48,92,230 . The biggest common factor number is the GCF number.
So the greatest common factor 48,92,230 is 2.


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 54/48, 607/92, 999/230

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 54/48, 607/92, 999/230?

Answer: LCM of Numerators as per given numbers 54/48, 607/92, 999/230 is

LCM of Numerators i.e. for 54,607,999 is 1212786

GCF of denominators i.e. for 48,92,230 is 2.

Thus, LCM of Fractions is 606393.Finally, LCM of Fractions for 54/48, 607/92, 999/230 is 606393.