Least Common Multiple of 36/422, 188/475, 563/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/422, 188/475, 563/933 quickly i.e. 952596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/422, 188/475, 563/933 is 952596.

LCM(36/422, 188/475, 563/933) = 952596

LCM of 36/422, 188/475, 563/933

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 36/422,188/475,563/933

Given numbers are 36/422,188/475,563/933

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 36,188,563

Least Common Multiple of Numerators i.e. LCM of 36,188,563 is 952596.

GCF of Denominators means GCF of 422,475,933 as per the given fractions.

GCF of 422,475,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,188,563

LCM of Fractions 36/422,188/475,563/933 is 952596

2 36, 188, 563
2 18, 94, 563
9, 47, 563

∴ So the LCM of the given numbers is 2 x 2 x 9 x 47 x 563 = 952596

Least Common Multiple of 36,188,563 with GCF Formula

Least Common Multiple of 36,188,563 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 36,188,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,188,563) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,188,563) x common factors =1 x 4 = 4

LCM(36,188,563) = ( 36 × 188 × 563 ) / 4

LCM(36,188,563) = 3810384 / 4

LCM(36,188,563) = 952596


Lets's calculate GCF of 422,475,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952596/1

Therefore the LCM of Fractions 36/422,188/475,563/933 is 952596

Greatest Common Factor of 422,475,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,475,933 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 422,475,933 . The biggest common factor number is the GCF number.
So the greatest common factor 422,475,933 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 36/422, 188/475, 563/933

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 36/422, 188/475, 563/933?

Answer: LCM of Numerators as per given numbers 36/422, 188/475, 563/933 is

LCM of Numerators i.e. for 36,188,563 is 952596

GCF of denominators i.e. for 422,475,933 is 1.

Thus, LCM of Fractions is 952596.Finally, LCM of Fractions for 36/422, 188/475, 563/933 is 952596.