Least Common Multiple of 15/182, 6820/2483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/182, 6820/2483 quickly i.e. 20460/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/182, 6820/2483 is 20460/13.

LCM(15/182, 6820/2483) = 20460/13

LCM of 15/182, 6820/2483

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 15/182,6820/2483

Given numbers are 15/182,6820/2483

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 15,6820

Least Common Multiple of Numerators i.e. LCM of 15,6820 is 20460.

GCF of Denominators means GCF of 182,2483 as per the given fractions.

GCF of 182,2483 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,6820

LCM of Fractions 15/182,6820/2483 is 20460/13

5 15, 6820
3, 1364

∴ So the LCM of the given numbers is 5 x 3 x 1364 = 20460

Least Common Multiple of 15,6820 with GCF Formula

Least Common Multiple of 15,6820 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 15,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,6820) = 5

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

GCF(15,6820) x common factors =5 x 1 = 5

LCM(15,6820) = ( 15 × 6820 ) / 5

LCM(15,6820) = 102300 / 5

LCM(15,6820) = 20460


Lets's calculate GCF of 182,2483

13 182, 2483
14, 191

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20460/13

Therefore the LCM of Fractions 15/182,6820/2483 is 20460/13

Greatest Common Factor of 182,2483 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,2483 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1,13,191,2483

Greatest Common Factor

We found the factors 182,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 182,2483 is 13.


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 15/182, 6820/2483

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 15/182, 6820/2483?

Answer: LCM of Numerators as per given numbers 15/182, 6820/2483 is

LCM of Numerators i.e. for 15,6820 is 20460

GCF of denominators i.e. for 182,2483 is 13.

Thus, LCM of Fractions is 20460/13.Finally, LCM of Fractions for 15/182, 6820/2483 is 20460/13.