Least Common Multiple of 82/784, 15/909, 246/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/784, 15/909, 246/202 quickly i.e. 1230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/784, 15/909, 246/202 is 1230.

LCM(82/784, 15/909, 246/202) = 1230

LCM of 82/784, 15/909, 246/202

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 82/784,15/909,246/202

Given numbers are 82/784,15/909,246/202

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 82,15,246

Least Common Multiple of Numerators i.e. LCM of 82,15,246 is 1230.

GCF of Denominators means GCF of 784,909,202 as per the given fractions.

GCF of 784,909,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,15,246

LCM of Fractions 82/784,15/909,246/202 is 1230

2 82, 15, 246
3 41, 15, 123
41 41, 5, 41
1, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 41 x 1 x 5 x 1 = 1230

Least Common Multiple of 82,15,246 with GCF Formula

Least Common Multiple of 82,15,246 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 82,15,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,15,246) = 1

common factors(in case of two or more numbers have common factors) = 246

GCF(82,15,246) x common factors =1 x 246 = 246

LCM(82,15,246) = ( 82 × 15 × 246 ) / 246

LCM(82,15,246) = 302580 / 246

LCM(82,15,246) = 1230


Lets's calculate GCF of 784,909,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230/1

Therefore the LCM of Fractions 82/784,15/909,246/202 is 1230

Greatest Common Factor of 784,909,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,909,202 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 784,909,202 . The biggest common factor number is the GCF number.
So the greatest common factor 784,909,202 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 82/784, 15/909, 246/202

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 82/784, 15/909, 246/202?

Answer: LCM of Numerators as per given numbers 82/784, 15/909, 246/202 is

LCM of Numerators i.e. for 82,15,246 is 1230

GCF of denominators i.e. for 784,909,202 is 1.

Thus, LCM of Fractions is 1230.Finally, LCM of Fractions for 82/784, 15/909, 246/202 is 1230.