Least Common Multiple of 90/36, 461/46, 823/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/36, 461/46, 823/388 quickly i.e. 17073135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/36, 461/46, 823/388 is 17073135.

LCM(90/36, 461/46, 823/388) = 17073135

LCM of 90/36, 461/46, 823/388

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 90/36,461/46,823/388

Given numbers are 90/36,461/46,823/388

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 90,461,823

Least Common Multiple of Numerators i.e. LCM of 90,461,823 is 34146270.

GCF of Denominators means GCF of 36,46,388 as per the given fractions.

GCF of 36,46,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,461,823

LCM of Fractions 90/36,461/46,823/388 is 17073135

Given numbers has no common factors except 1. So, there LCM is their product i.e 34146270

Least Common Multiple of 90,461,823 with GCF Formula

Least Common Multiple of 90,461,823 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 90,461,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,461,823) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(90,461,823) x common factors =1 x 1 = 1

LCM(90,461,823) = ( 90 × 461 × 823 ) / 1

LCM(90,461,823) = 34146270 / 1

LCM(90,461,823) = 34146270


Lets's calculate GCF of 36,46,388

2 36, 46, 388
18, 23, 194

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34146270/2

Therefore the LCM of Fractions 90/36,461/46,823/388 is 17073135

Greatest Common Factor of 36,46,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,46,388 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 36,46,388 . The biggest common factor number is the GCF number.
So the greatest common factor 36,46,388 is 2.


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 90/36, 461/46, 823/388

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 90/36, 461/46, 823/388?

Answer: LCM of Numerators as per given numbers 90/36, 461/46, 823/388 is

LCM of Numerators i.e. for 90,461,823 is 34146270

GCF of denominators i.e. for 36,46,388 is 2.

Thus, LCM of Fractions is 17073135.Finally, LCM of Fractions for 90/36, 461/46, 823/388 is 17073135.