Least Common Multiple of 34/363, 73/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/363, 73/484 quickly i.e. 2482/121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/363, 73/484 is 2482/121.

LCM(34/363, 73/484) = 2482/121

LCM of 34/363, 73/484

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 34/363,73/484

Given numbers are 34/363,73/484

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 34,73

Least Common Multiple of Numerators i.e. LCM of 34,73 is 2482.

GCF of Denominators means GCF of 363,484 as per the given fractions.

GCF of 363,484 is 121 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,73

LCM of Fractions 34/363,73/484 is 2482/121

Given numbers has no common factors except 1. So, there LCM is their product i.e 2482

Least Common Multiple of 34,73 with GCF Formula

Least Common Multiple of 34,73 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 34,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,73) = 1

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

GCF(34,73) x common factors =1 x 1 = 1

LCM(34,73) = ( 34 × 73 ) / 1

LCM(34,73) = 2482 / 1

LCM(34,73) = 2482


Lets's calculate GCF of 363,484

11 363, 484
11 33, 44
3, 4

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2482/121

Therefore the LCM of Fractions 34/363,73/484 is 2482/121

Greatest Common Factor of 363,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,484 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 363,484 . The biggest common factor number is the GCF number.
So the greatest common factor 363,484 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 34/363, 73/484

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 34/363, 73/484?

Answer: LCM of Numerators as per given numbers 34/363, 73/484 is

LCM of Numerators i.e. for 34,73 is 2482

GCF of denominators i.e. for 363,484 is 121.

Thus, LCM of Fractions is 2482/121.Finally, LCM of Fractions for 34/363, 73/484 is 2482/121.