Least Common Multiple of 84/43, 58/19, 18/59, 64/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/43, 58/19, 18/59, 64/442 quickly i.e. 116928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/43, 58/19, 18/59, 64/442 is 116928.

LCM(84/43, 58/19, 18/59, 64/442) = 116928

LCM of 84/43, 58/19, 18/59, 64/442

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 84/43,58/19,18/59,64/442

Given numbers are 84/43,58/19,18/59,64/442

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 84,58,18,64

Least Common Multiple of Numerators i.e. LCM of 84,58,18,64 is 116928.

GCF of Denominators means GCF of 43,19,59,442 as per the given fractions.

GCF of 43,19,59,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,58,18,64

LCM of Fractions 84/43,58/19,18/59,64/442 is 116928

2 84, 58, 18, 64
2 42, 29, 9, 32
3 21, 29, 9, 16
7, 29, 3, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 29 x 3 x 16 = 116928

Least Common Multiple of 84,58,18,64 with GCF Formula

Least Common Multiple of 84,58,18,64 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 84,58,18,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,58,18,64) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(84,58,18,64) x common factors =2 x 24 = 48

LCM(84,58,18,64) = ( 84 × 58 × 18 × 64 ) / 48

LCM(84,58,18,64) = 5612544 / 48

LCM(84,58,18,64) = 116928


Lets's calculate GCF of 43,19,59,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116928/1

Therefore the LCM of Fractions 84/43,58/19,18/59,64/442 is 116928

Greatest Common Factor of 43,19,59,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,19,59,442 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 43,19,59,442 . The biggest common factor number is the GCF number.
So the greatest common factor 43,19,59,442 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 84/43, 58/19, 18/59, 64/442

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 84/43, 58/19, 18/59, 64/442?

Answer: LCM of Numerators as per given numbers 84/43, 58/19, 18/59, 64/442 is

LCM of Numerators i.e. for 84,58,18,64 is 116928

GCF of denominators i.e. for 43,19,59,442 is 1.

Thus, LCM of Fractions is 116928.Finally, LCM of Fractions for 84/43, 58/19, 18/59, 64/442 is 116928.