Least Common Multiple of 2005/336, 1970/2772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2005/336, 1970/2772 quickly i.e. 789970/84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2005/336, 1970/2772 is 789970/84.

LCM(2005/336, 1970/2772) = 789970/84

LCM of 2005/336, 1970/2772

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 2005/336,1970/2772

Given numbers are 2005/336,1970/2772

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 2005,1970

Least Common Multiple of Numerators i.e. LCM of 2005,1970 is 789970.

GCF of Denominators means GCF of 336,2772 as per the given fractions.

GCF of 336,2772 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2005,1970

LCM of Fractions 2005/336,1970/2772 is 789970/84

5 2005, 1970
401, 394

∴ So the LCM of the given numbers is 5 x 401 x 394 = 789970

Least Common Multiple of 2005,1970 with GCF Formula

Least Common Multiple of 2005,1970 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 2005,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2005,1970) = 5

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

GCF(2005,1970) x common factors =5 x 1 = 5

LCM(2005,1970) = ( 2005 × 1970 ) / 5

LCM(2005,1970) = 3949850 / 5

LCM(2005,1970) = 789970


Lets's calculate GCF of 336,2772

2 336, 2772
2 168, 1386
3 84, 693
7 28, 231
4, 33

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 789970/84

Therefore the LCM of Fractions 2005/336,1970/2772 is 789970/84

Greatest Common Factor of 336,2772 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,2772 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors 336,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 336,2772 is 84.


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 2005/336, 1970/2772

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 2005/336, 1970/2772?

Answer: LCM of Numerators as per given numbers 2005/336, 1970/2772 is

LCM of Numerators i.e. for 2005,1970 is 789970

GCF of denominators i.e. for 336,2772 is 84.

Thus, LCM of Fractions is 789970/84.Finally, LCM of Fractions for 2005/336, 1970/2772 is 789970/84.