Least Common Multiple of 58/93, 14/996, 355/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/93, 14/996, 355/152 quickly i.e. 144130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/93, 14/996, 355/152 is 144130.

LCM(58/93, 14/996, 355/152) = 144130

LCM of 58/93, 14/996, 355/152

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 58/93,14/996,355/152

Given numbers are 58/93,14/996,355/152

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 58,14,355

Least Common Multiple of Numerators i.e. LCM of 58,14,355 is 144130.

GCF of Denominators means GCF of 93,996,152 as per the given fractions.

GCF of 93,996,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,14,355

LCM of Fractions 58/93,14/996,355/152 is 144130

2 58, 14, 355
29, 7, 355

∴ So the LCM of the given numbers is 2 x 29 x 7 x 355 = 144130

Least Common Multiple of 58,14,355 with GCF Formula

Least Common Multiple of 58,14,355 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 58,14,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,14,355) = 1

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

GCF(58,14,355) x common factors =1 x 2 = 2

LCM(58,14,355) = ( 58 × 14 × 355 ) / 2

LCM(58,14,355) = 288260 / 2

LCM(58,14,355) = 144130


Lets's calculate GCF of 93,996,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144130/1

Therefore the LCM of Fractions 58/93,14/996,355/152 is 144130

Greatest Common Factor of 93,996,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,996,152 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 93,996,152 . The biggest common factor number is the GCF number.
So the greatest common factor 93,996,152 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 58/93, 14/996, 355/152

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 58/93, 14/996, 355/152?

Answer: LCM of Numerators as per given numbers 58/93, 14/996, 355/152 is

LCM of Numerators i.e. for 58,14,355 is 144130

GCF of denominators i.e. for 93,996,152 is 1.

Thus, LCM of Fractions is 144130.Finally, LCM of Fractions for 58/93, 14/996, 355/152 is 144130.