Least Common Multiple of 58/15, 84/48, 45/42, 18/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/15, 84/48, 45/42, 18/578 quickly i.e. 36540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/15, 84/48, 45/42, 18/578 is 36540.

LCM(58/15, 84/48, 45/42, 18/578) = 36540

LCM of 58/15, 84/48, 45/42, 18/578

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 58/15,84/48,45/42,18/578

Given numbers are 58/15,84/48,45/42,18/578

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 58,84,45,18

Least Common Multiple of Numerators i.e. LCM of 58,84,45,18 is 36540.

GCF of Denominators means GCF of 15,48,42,578 as per the given fractions.

GCF of 15,48,42,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,84,45,18

LCM of Fractions 58/15,84/48,45/42,18/578 is 36540

2 58, 84, 45, 18
3 29, 42, 45, 9
3 29, 14, 15, 3
29, 14, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 14 x 5 x 1 = 36540

Least Common Multiple of 58,84,45,18 with GCF Formula

Least Common Multiple of 58,84,45,18 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 58,84,45,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,84,45,18) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(58,84,45,18) x common factors =1 x 108 = 108

LCM(58,84,45,18) = ( 58 × 84 × 45 × 18 ) / 108

LCM(58,84,45,18) = 3946320 / 108

LCM(58,84,45,18) = 36540


Lets's calculate GCF of 15,48,42,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36540/1

Therefore the LCM of Fractions 58/15,84/48,45/42,18/578 is 36540

Greatest Common Factor of 15,48,42,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,48,42,578 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

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 42

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

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

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 15,48,42,578 . The biggest common factor number is the GCF number.
So the greatest common factor 15,48,42,578 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 58/15, 84/48, 45/42, 18/578

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 58/15, 84/48, 45/42, 18/578?

Answer: LCM of Numerators as per given numbers 58/15, 84/48, 45/42, 18/578 is

LCM of Numerators i.e. for 58,84,45,18 is 36540

GCF of denominators i.e. for 15,48,42,578 is 1.

Thus, LCM of Fractions is 36540.Finally, LCM of Fractions for 58/15, 84/48, 45/42, 18/578 is 36540.