Least Common Multiple of 83/58, 69/66, 90/75, 93/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/58, 69/66, 90/75, 93/234 quickly i.e. 5326110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/58, 69/66, 90/75, 93/234 is 5326110.

LCM(83/58, 69/66, 90/75, 93/234) = 5326110

LCM of 83/58, 69/66, 90/75, 93/234

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 83/58,69/66,90/75,93/234

Given numbers are 83/58,69/66,90/75,93/234

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 83,69,90,93

Least Common Multiple of Numerators i.e. LCM of 83,69,90,93 is 5326110.

GCF of Denominators means GCF of 58,66,75,234 as per the given fractions.

GCF of 58,66,75,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,69,90,93

LCM of Fractions 83/58,69/66,90/75,93/234 is 5326110

3 83, 69, 90, 93
83, 23, 30, 31

∴ So the LCM of the given numbers is 3 x 83 x 23 x 30 x 31 = 5326110

Least Common Multiple of 83,69,90,93 with GCF Formula

Least Common Multiple of 83,69,90,93 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 83,69,90,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,69,90,93) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(83,69,90,93) x common factors =1 x 9 = 9

LCM(83,69,90,93) = ( 83 × 69 × 90 × 93 ) / 9

LCM(83,69,90,93) = 47934990 / 9

LCM(83,69,90,93) = 5326110


Lets's calculate GCF of 58,66,75,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5326110/1

Therefore the LCM of Fractions 83/58,69/66,90/75,93/234 is 5326110

Greatest Common Factor of 58,66,75,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,66,75,234 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 58,66,75,234 . The biggest common factor number is the GCF number.
So the greatest common factor 58,66,75,234 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 83/58, 69/66, 90/75, 93/234

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 83/58, 69/66, 90/75, 93/234?

Answer: LCM of Numerators as per given numbers 83/58, 69/66, 90/75, 93/234 is

LCM of Numerators i.e. for 83,69,90,93 is 5326110

GCF of denominators i.e. for 58,66,75,234 is 1.

Thus, LCM of Fractions is 5326110.Finally, LCM of Fractions for 83/58, 69/66, 90/75, 93/234 is 5326110.