Least Common Multiple of 37/242, 65/242, 813/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/242, 65/242, 813/605 quickly i.e. 1955265/121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/242, 65/242, 813/605 is 1955265/121.

LCM(37/242, 65/242, 813/605) = 1955265/121

LCM of 37/242, 65/242, 813/605

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 37/242,65/242,813/605

Given numbers are 37/242,65/242,813/605

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 37,65,813

Least Common Multiple of Numerators i.e. LCM of 37,65,813 is 1955265.

GCF of Denominators means GCF of 242,242,605 as per the given fractions.

GCF of 242,242,605 is 121 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,65,813

LCM of Fractions 37/242,65/242,813/605 is 1955265/121

Given numbers has no common factors except 1. So, there LCM is their product i.e 1955265

Least Common Multiple of 37,65,813 with GCF Formula

Least Common Multiple of 37,65,813 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 37,65,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,65,813) = 1

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

GCF(37,65,813) x common factors =1 x 1 = 1

LCM(37,65,813) = ( 37 × 65 × 813 ) / 1

LCM(37,65,813) = 1955265 / 1

LCM(37,65,813) = 1955265


Lets's calculate GCF of 242,242,605

11 242, 242, 605
11 22, 22, 55
2, 2, 5

∴ So the GCF of the given numbers is 11 x 11 = 121

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1955265/121

Therefore the LCM of Fractions 37/242,65/242,813/605 is 1955265/121

Greatest Common Factor of 242,242,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,242,605 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 242

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

1,2,11,22,121,242

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 242,242,605 . The biggest common factor number is the GCF number.
So the greatest common factor 242,242,605 is 121.


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 37/242, 65/242, 813/605

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 37/242, 65/242, 813/605?

Answer: LCM of Numerators as per given numbers 37/242, 65/242, 813/605 is

LCM of Numerators i.e. for 37,65,813 is 1955265

GCF of denominators i.e. for 242,242,605 is 121.

Thus, LCM of Fractions is 1955265/121.Finally, LCM of Fractions for 37/242, 65/242, 813/605 is 1955265/121.