Least Common Multiple of 40/30, 169/48, 146/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/30, 169/48, 146/589 quickly i.e. 493480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/30, 169/48, 146/589 is 493480.

LCM(40/30, 169/48, 146/589) = 493480

LCM of 40/30, 169/48, 146/589

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 40/30,169/48,146/589

Given numbers are 40/30,169/48,146/589

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 40,169,146

Least Common Multiple of Numerators i.e. LCM of 40,169,146 is 493480.

GCF of Denominators means GCF of 30,48,589 as per the given fractions.

GCF of 30,48,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,169,146

LCM of Fractions 40/30,169/48,146/589 is 493480

2 40, 169, 146
20, 169, 73

∴ So the LCM of the given numbers is 2 x 20 x 169 x 73 = 493480

Least Common Multiple of 40,169,146 with GCF Formula

Least Common Multiple of 40,169,146 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 40,169,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,169,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,169,146) x common factors =1 x 2 = 2

LCM(40,169,146) = ( 40 × 169 × 146 ) / 2

LCM(40,169,146) = 986960 / 2

LCM(40,169,146) = 493480


Lets's calculate GCF of 30,48,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493480/1

Therefore the LCM of Fractions 40/30,169/48,146/589 is 493480

Greatest Common Factor of 30,48,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,48,589 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 30,48,589 . The biggest common factor number is the GCF number.
So the greatest common factor 30,48,589 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 40/30, 169/48, 146/589

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 40/30, 169/48, 146/589?

Answer: LCM of Numerators as per given numbers 40/30, 169/48, 146/589 is

LCM of Numerators i.e. for 40,169,146 is 493480

GCF of denominators i.e. for 30,48,589 is 1.

Thus, LCM of Fractions is 493480.Finally, LCM of Fractions for 40/30, 169/48, 146/589 is 493480.