Least Common Multiple of 58/46, 51/36, 93/92, 163/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/46, 51/36, 93/92, 163/33 quickly i.e. 14946774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/46, 51/36, 93/92, 163/33 is 14946774.

LCM(58/46, 51/36, 93/92, 163/33) = 14946774

LCM of 58/46, 51/36, 93/92, 163/33

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 58/46,51/36,93/92,163/33

Given numbers are 58/46,51/36,93/92,163/33

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 58,51,93,163

Least Common Multiple of Numerators i.e. LCM of 58,51,93,163 is 14946774.

GCF of Denominators means GCF of 46,36,92,33 as per the given fractions.

GCF of 46,36,92,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,51,93,163

LCM of Fractions 58/46,51/36,93/92,163/33 is 14946774

3 58, 51, 93, 163
58, 17, 31, 163

∴ So the LCM of the given numbers is 3 x 58 x 17 x 31 x 163 = 14946774

Least Common Multiple of 58,51,93,163 with GCF Formula

Least Common Multiple of 58,51,93,163 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 58,51,93,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,51,93,163) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(58,51,93,163) x common factors =1 x 3 = 3

LCM(58,51,93,163) = ( 58 × 51 × 93 × 163 ) / 3

LCM(58,51,93,163) = 44840322 / 3

LCM(58,51,93,163) = 14946774


Lets's calculate GCF of 46,36,92,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14946774/1

Therefore the LCM of Fractions 58/46,51/36,93/92,163/33 is 14946774

Greatest Common Factor of 46,36,92,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,36,92,33 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 92

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

1,2,4,23,46,92

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 46,36,92,33 . The biggest common factor number is the GCF number.
So the greatest common factor 46,36,92,33 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 58/46, 51/36, 93/92, 163/33

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 58/46, 51/36, 93/92, 163/33?

Answer: LCM of Numerators as per given numbers 58/46, 51/36, 93/92, 163/33 is

LCM of Numerators i.e. for 58,51,93,163 is 14946774

GCF of denominators i.e. for 46,36,92,33 is 1.

Thus, LCM of Fractions is 14946774.Finally, LCM of Fractions for 58/46, 51/36, 93/92, 163/33 is 14946774.