Least Common Multiple of 58/93, 87/14, 224/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/93, 87/14, 224/558 quickly i.e. 19488 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, 87/14, 224/558 is 19488.

LCM(58/93, 87/14, 224/558) = 19488

LCM of 58/93, 87/14, 224/558

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 58/93,87/14,224/558

Given numbers are 58/93,87/14,224/558

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 58,87,224

Least Common Multiple of Numerators i.e. LCM of 58,87,224 is 19488.

GCF of Denominators means GCF of 93,14,558 as per the given fractions.

GCF of 93,14,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,87,224

LCM of Fractions 58/93,87/14,224/558 is 19488

2 58, 87, 224
29 29, 87, 112
1, 3, 112

∴ So the LCM of the given numbers is 2 x 29 x 1 x 3 x 112 = 19488

Least Common Multiple of 58,87,224 with GCF Formula

Least Common Multiple of 58,87,224 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 58,87,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,87,224) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(58,87,224) x common factors =1 x 58 = 58

LCM(58,87,224) = ( 58 × 87 × 224 ) / 58

LCM(58,87,224) = 1130304 / 58

LCM(58,87,224) = 19488


Lets's calculate GCF of 93,14,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19488/1

Therefore the LCM of Fractions 58/93,87/14,224/558 is 19488

Greatest Common Factor of 93,14,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,14,558 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 93,14,558 . The biggest common factor number is the GCF number.
So the greatest common factor 93,14,558 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, 87/14, 224/558

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, 87/14, 224/558?

Answer: LCM of Numerators as per given numbers 58/93, 87/14, 224/558 is

LCM of Numerators i.e. for 58,87,224 is 19488

GCF of denominators i.e. for 93,14,558 is 1.

Thus, LCM of Fractions is 19488.Finally, LCM of Fractions for 58/93, 87/14, 224/558 is 19488.