Least Common Multiple of 36/482, 73/365, 510/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/482, 73/365, 510/515 quickly i.e. 223380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/482, 73/365, 510/515 is 223380.

LCM(36/482, 73/365, 510/515) = 223380

LCM of 36/482, 73/365, 510/515

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 36/482,73/365,510/515

Given numbers are 36/482,73/365,510/515

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 36,73,510

Least Common Multiple of Numerators i.e. LCM of 36,73,510 is 223380.

GCF of Denominators means GCF of 482,365,515 as per the given fractions.

GCF of 482,365,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,73,510

LCM of Fractions 36/482,73/365,510/515 is 223380

2 36, 73, 510
3 18, 73, 255
6, 73, 85

∴ So the LCM of the given numbers is 2 x 3 x 6 x 73 x 85 = 223380

Least Common Multiple of 36,73,510 with GCF Formula

Least Common Multiple of 36,73,510 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 36,73,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,73,510) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,73,510) x common factors =1 x 6 = 6

LCM(36,73,510) = ( 36 × 73 × 510 ) / 6

LCM(36,73,510) = 1340280 / 6

LCM(36,73,510) = 223380


Lets's calculate GCF of 482,365,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223380/1

Therefore the LCM of Fractions 36/482,73/365,510/515 is 223380

Greatest Common Factor of 482,365,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,365,515 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 482,365,515 . The biggest common factor number is the GCF number.
So the greatest common factor 482,365,515 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 36/482, 73/365, 510/515

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 36/482, 73/365, 510/515?

Answer: LCM of Numerators as per given numbers 36/482, 73/365, 510/515 is

LCM of Numerators i.e. for 36,73,510 is 223380

GCF of denominators i.e. for 482,365,515 is 1.

Thus, LCM of Fractions is 223380.Finally, LCM of Fractions for 36/482, 73/365, 510/515 is 223380.