Least Common Multiple of 1995/806, 2970/6542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1995/806, 2970/6542 quickly i.e. 197505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1995/806, 2970/6542 is 197505.

LCM(1995/806, 2970/6542) = 197505

LCM of 1995/806, 2970/6542

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 1995/806,2970/6542

Given numbers are 1995/806,2970/6542

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 1995,2970

Least Common Multiple of Numerators i.e. LCM of 1995,2970 is 395010.

GCF of Denominators means GCF of 806,6542 as per the given fractions.

GCF of 806,6542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1995,2970

LCM of Fractions 1995/806,2970/6542 is 197505

3 1995, 2970
5 665, 990
133, 198

∴ So the LCM of the given numbers is 3 x 5 x 133 x 198 = 395010

Least Common Multiple of 1995,2970 with GCF Formula

Least Common Multiple of 1995,2970 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 1995,2970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1995,2970) = 15

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

GCF(1995,2970) x common factors =15 x 1 = 15

LCM(1995,2970) = ( 1995 × 2970 ) / 15

LCM(1995,2970) = 5925150 / 15

LCM(1995,2970) = 395010


Lets's calculate GCF of 806,6542

2 806, 6542
403, 3271

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395010/2

Therefore the LCM of Fractions 1995/806,2970/6542 is 197505

Greatest Common Factor of 806,6542 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,6542 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1,2,3271,6542

Greatest Common Factor

We found the factors 806,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 806,6542 is 2.


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 1995/806, 2970/6542

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 1995/806, 2970/6542?

Answer: LCM of Numerators as per given numbers 1995/806, 2970/6542 is

LCM of Numerators i.e. for 1995,2970 is 395010

GCF of denominators i.e. for 806,6542 is 2.

Thus, LCM of Fractions is 197505.Finally, LCM of Fractions for 1995/806, 2970/6542 is 197505.