Least Common Multiple of 90/23, 18/59, 38/30, 69/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/23, 18/59, 38/30, 69/357 quickly i.e. 39330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/23, 18/59, 38/30, 69/357 is 39330.

LCM(90/23, 18/59, 38/30, 69/357) = 39330

LCM of 90/23, 18/59, 38/30, 69/357

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 90/23,18/59,38/30,69/357

Given numbers are 90/23,18/59,38/30,69/357

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 90,18,38,69

Least Common Multiple of Numerators i.e. LCM of 90,18,38,69 is 39330.

GCF of Denominators means GCF of 23,59,30,357 as per the given fractions.

GCF of 23,59,30,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,18,38,69

LCM of Fractions 90/23,18/59,38/30,69/357 is 39330

2 90, 18, 38, 69
3 45, 9, 19, 69
3 15, 3, 19, 23
5, 1, 19, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 19 x 23 = 39330

Least Common Multiple of 90,18,38,69 with GCF Formula

Least Common Multiple of 90,18,38,69 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 90,18,38,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,18,38,69) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(90,18,38,69) x common factors =1 x 108 = 108

LCM(90,18,38,69) = ( 90 × 18 × 38 × 69 ) / 108

LCM(90,18,38,69) = 4247640 / 108

LCM(90,18,38,69) = 39330


Lets's calculate GCF of 23,59,30,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39330/1

Therefore the LCM of Fractions 90/23,18/59,38/30,69/357 is 39330

Greatest Common Factor of 23,59,30,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,59,30,357 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 23,59,30,357 . The biggest common factor number is the GCF number.
So the greatest common factor 23,59,30,357 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 90/23, 18/59, 38/30, 69/357

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 90/23, 18/59, 38/30, 69/357?

Answer: LCM of Numerators as per given numbers 90/23, 18/59, 38/30, 69/357 is

LCM of Numerators i.e. for 90,18,38,69 is 39330

GCF of denominators i.e. for 23,59,30,357 is 1.

Thus, LCM of Fractions is 39330.Finally, LCM of Fractions for 90/23, 18/59, 38/30, 69/357 is 39330.