Least Common Multiple of 920/99, 820/3381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/99, 820/3381 quickly i.e. 37720/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/99, 820/3381 is 37720/3.

LCM(920/99, 820/3381) = 37720/3

LCM of 920/99, 820/3381

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 920/99,820/3381

Given numbers are 920/99,820/3381

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 920,820

Least Common Multiple of Numerators i.e. LCM of 920,820 is 37720.

GCF of Denominators means GCF of 99,3381 as per the given fractions.

GCF of 99,3381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,820

LCM of Fractions 920/99,820/3381 is 37720/3

2 920, 820
2 460, 410
5 230, 205
46, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 46 x 41 = 37720

Least Common Multiple of 920,820 with GCF Formula

Least Common Multiple of 920,820 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 920,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,820) = 20

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

GCF(920,820) x common factors =20 x 1 = 20

LCM(920,820) = ( 920 × 820 ) / 20

LCM(920,820) = 754400 / 20

LCM(920,820) = 37720


Lets's calculate GCF of 99,3381

3 99, 3381
33, 1127

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37720/3

Therefore the LCM of Fractions 920/99,820/3381 is 37720/3

Greatest Common Factor of 99,3381 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,3381 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 3381

List of positive integer factors of 3381 that divides 3381 without a remainder.

1,3,7,21,23,49,69,147,161,483,1127,3381

Greatest Common Factor

We found the factors 99,3381 . The biggest common factor number is the GCF number.
So the greatest common factor 99,3381 is 3.


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 920/99, 820/3381

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 920/99, 820/3381?

Answer: LCM of Numerators as per given numbers 920/99, 820/3381 is

LCM of Numerators i.e. for 920,820 is 37720

GCF of denominators i.e. for 99,3381 is 3.

Thus, LCM of Fractions is 37720/3.Finally, LCM of Fractions for 920/99, 820/3381 is 37720/3.