Least Common Multiple of 133/36, 509/66, 563/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/36, 509/66, 563/253 quickly i.e. 38113411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/36, 509/66, 563/253 is 38113411.

LCM(133/36, 509/66, 563/253) = 38113411

LCM of 133/36, 509/66, 563/253

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 133/36,509/66,563/253

Given numbers are 133/36,509/66,563/253

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 133,509,563

Least Common Multiple of Numerators i.e. LCM of 133,509,563 is 38113411.

GCF of Denominators means GCF of 36,66,253 as per the given fractions.

GCF of 36,66,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,509,563

LCM of Fractions 133/36,509/66,563/253 is 38113411

Given numbers has no common factors except 1. So, there LCM is their product i.e 38113411

Least Common Multiple of 133,509,563 with GCF Formula

Least Common Multiple of 133,509,563 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 133,509,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,509,563) = 1

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

GCF(133,509,563) x common factors =1 x 1 = 1

LCM(133,509,563) = ( 133 × 509 × 563 ) / 1

LCM(133,509,563) = 38113411 / 1

LCM(133,509,563) = 38113411


Lets's calculate GCF of 36,66,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38113411/1

Therefore the LCM of Fractions 133/36,509/66,563/253 is 38113411

Greatest Common Factor of 36,66,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,66,253 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 66

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

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

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 36,66,253 . The biggest common factor number is the GCF number.
So the greatest common factor 36,66,253 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 133/36, 509/66, 563/253

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 133/36, 509/66, 563/253?

Answer: LCM of Numerators as per given numbers 133/36, 509/66, 563/253 is

LCM of Numerators i.e. for 133,509,563 is 38113411

GCF of denominators i.e. for 36,66,253 is 1.

Thus, LCM of Fractions is 38113411.Finally, LCM of Fractions for 133/36, 509/66, 563/253 is 38113411.