Least Common Multiple of 27/242, 33/762, 505/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/242, 33/762, 505/299 quickly i.e. 149985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/242, 33/762, 505/299 is 149985.

LCM(27/242, 33/762, 505/299) = 149985

LCM of 27/242, 33/762, 505/299

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 27/242,33/762,505/299

Given numbers are 27/242,33/762,505/299

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 27,33,505

Least Common Multiple of Numerators i.e. LCM of 27,33,505 is 149985.

GCF of Denominators means GCF of 242,762,299 as per the given fractions.

GCF of 242,762,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,33,505

LCM of Fractions 27/242,33/762,505/299 is 149985

3 27, 33, 505
9, 11, 505

∴ So the LCM of the given numbers is 3 x 9 x 11 x 505 = 149985

Least Common Multiple of 27,33,505 with GCF Formula

Least Common Multiple of 27,33,505 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 27,33,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,33,505) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,33,505) x common factors =1 x 3 = 3

LCM(27,33,505) = ( 27 × 33 × 505 ) / 3

LCM(27,33,505) = 449955 / 3

LCM(27,33,505) = 149985


Lets's calculate GCF of 242,762,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149985/1

Therefore the LCM of Fractions 27/242,33/762,505/299 is 149985

Greatest Common Factor of 242,762,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,762,299 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 242,762,299 . The biggest common factor number is the GCF number.
So the greatest common factor 242,762,299 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 27/242, 33/762, 505/299

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 27/242, 33/762, 505/299?

Answer: LCM of Numerators as per given numbers 27/242, 33/762, 505/299 is

LCM of Numerators i.e. for 27,33,505 is 149985

GCF of denominators i.e. for 242,762,299 is 1.

Thus, LCM of Fractions is 149985.Finally, LCM of Fractions for 27/242, 33/762, 505/299 is 149985.