Least Common Multiple of 458/42, 593/45, 105/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/42, 593/45, 105/45 quickly i.e. 9505790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/42, 593/45, 105/45 is 9505790.

LCM(458/42, 593/45, 105/45) = 9505790

LCM of 458/42, 593/45, 105/45

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 458/42,593/45,105/45

Given numbers are 458/42,593/45,105/45

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 458,593,105

Least Common Multiple of Numerators i.e. LCM of 458,593,105 is 28517370.

GCF of Denominators means GCF of 42,45,45 as per the given fractions.

GCF of 42,45,45 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,593,105

LCM of Fractions 458/42,593/45,105/45 is 9505790

Given numbers has no common factors except 1. So, there LCM is their product i.e 28517370

Least Common Multiple of 458,593,105 with GCF Formula

Least Common Multiple of 458,593,105 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 458,593,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,593,105) = 1

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

GCF(458,593,105) x common factors =1 x 1 = 1

LCM(458,593,105) = ( 458 × 593 × 105 ) / 1

LCM(458,593,105) = 28517370 / 1

LCM(458,593,105) = 28517370


Lets's calculate GCF of 42,45,45

3 42, 45, 45
14, 15, 15

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28517370/3

Therefore the LCM of Fractions 458/42,593/45,105/45 is 9505790

Greatest Common Factor of 42,45,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,45,45 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 42,45,45 . The biggest common factor number is the GCF number.
So the greatest common factor 42,45,45 is 3.


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 458/42, 593/45, 105/45

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 458/42, 593/45, 105/45?

Answer: LCM of Numerators as per given numbers 458/42, 593/45, 105/45 is

LCM of Numerators i.e. for 458,593,105 is 28517370

GCF of denominators i.e. for 42,45,45 is 3.

Thus, LCM of Fractions is 9505790.Finally, LCM of Fractions for 458/42, 593/45, 105/45 is 9505790.