Least Common Multiple of 820/39, 496/3783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/39, 496/3783 quickly i.e. 101680/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/39, 496/3783 is 101680/39.

LCM(820/39, 496/3783) = 101680/39

LCM of 820/39, 496/3783

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 820/39,496/3783

Given numbers are 820/39,496/3783

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 820,496

Least Common Multiple of Numerators i.e. LCM of 820,496 is 101680.

GCF of Denominators means GCF of 39,3783 as per the given fractions.

GCF of 39,3783 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,496

LCM of Fractions 820/39,496/3783 is 101680/39

2 820, 496
2 410, 248
205, 124

∴ So the LCM of the given numbers is 2 x 2 x 205 x 124 = 101680

Least Common Multiple of 820,496 with GCF Formula

Least Common Multiple of 820,496 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 820,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,496) = 4

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

GCF(820,496) x common factors =4 x 1 = 4

LCM(820,496) = ( 820 × 496 ) / 4

LCM(820,496) = 406720 / 4

LCM(820,496) = 101680


Lets's calculate GCF of 39,3783

3 39, 3783
13 13, 1261
1, 97

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101680/39

Therefore the LCM of Fractions 820/39,496/3783 is 101680/39

Greatest Common Factor of 39,3783 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,3783 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1,3,13,39,97,291,1261,3783

Greatest Common Factor

We found the factors 39,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 39,3783 is 39.


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 820/39, 496/3783

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 820/39, 496/3783?

Answer: LCM of Numerators as per given numbers 820/39, 496/3783 is

LCM of Numerators i.e. for 820,496 is 101680

GCF of denominators i.e. for 39,3783 is 39.

Thus, LCM of Fractions is 101680/39.Finally, LCM of Fractions for 820/39, 496/3783 is 101680/39.