Least Common Multiple of 58/34, 81/71, 90/31, 75/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/34, 81/71, 90/31, 75/535 quickly i.e. 117450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/34, 81/71, 90/31, 75/535 is 117450.

LCM(58/34, 81/71, 90/31, 75/535) = 117450

LCM of 58/34, 81/71, 90/31, 75/535

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 58/34,81/71,90/31,75/535

Given numbers are 58/34,81/71,90/31,75/535

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 58,81,90,75

Least Common Multiple of Numerators i.e. LCM of 58,81,90,75 is 117450.

GCF of Denominators means GCF of 34,71,31,535 as per the given fractions.

GCF of 34,71,31,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,81,90,75

LCM of Fractions 58/34,81/71,90/31,75/535 is 117450

2 58, 81, 90, 75
3 29, 81, 45, 75
3 29, 27, 15, 25
5 29, 9, 5, 25
29, 9, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 29 x 9 x 1 x 5 = 117450

Least Common Multiple of 58,81,90,75 with GCF Formula

Least Common Multiple of 58,81,90,75 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 58,81,90,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,81,90,75) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(58,81,90,75) x common factors =1 x 270 = 270

LCM(58,81,90,75) = ( 58 × 81 × 90 × 75 ) / 270

LCM(58,81,90,75) = 31711500 / 270

LCM(58,81,90,75) = 117450


Lets's calculate GCF of 34,71,31,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117450/1

Therefore the LCM of Fractions 58/34,81/71,90/31,75/535 is 117450

Greatest Common Factor of 34,71,31,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,71,31,535 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 34,71,31,535 . The biggest common factor number is the GCF number.
So the greatest common factor 34,71,31,535 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 58/34, 81/71, 90/31, 75/535

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 58/34, 81/71, 90/31, 75/535?

Answer: LCM of Numerators as per given numbers 58/34, 81/71, 90/31, 75/535 is

LCM of Numerators i.e. for 58,81,90,75 is 117450

GCF of denominators i.e. for 34,71,31,535 is 1.

Thus, LCM of Fractions is 117450.Finally, LCM of Fractions for 58/34, 81/71, 90/31, 75/535 is 117450.