Least Common Multiple of 6781/966, 5428/6573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6781/966, 5428/6573 quickly i.e. 36807268/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6781/966, 5428/6573 is 36807268/21.

LCM(6781/966, 5428/6573) = 36807268/21

LCM of 6781/966, 5428/6573

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 6781/966,5428/6573

Given numbers are 6781/966,5428/6573

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 6781,5428

Least Common Multiple of Numerators i.e. LCM of 6781,5428 is 36807268.

GCF of Denominators means GCF of 966,6573 as per the given fractions.

GCF of 966,6573 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6781,5428

LCM of Fractions 6781/966,5428/6573 is 36807268/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 36807268

Least Common Multiple of 6781,5428 with GCF Formula

Least Common Multiple of 6781,5428 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 6781,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6781,5428) = 1

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

GCF(6781,5428) x common factors =1 x 1 = 1

LCM(6781,5428) = ( 6781 × 5428 ) / 1

LCM(6781,5428) = 36807268 / 1

LCM(6781,5428) = 36807268


Lets's calculate GCF of 966,6573

3 966, 6573
7 322, 2191
46, 313

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36807268/21

Therefore the LCM of Fractions 6781/966,5428/6573 is 36807268/21

Greatest Common Factor of 966,6573 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,6573 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 6573

List of positive integer factors of 6573 that divides 6573 without a remainder.

1,3,7,21,313,939,2191,6573

Greatest Common Factor

We found the factors 966,6573 . The biggest common factor number is the GCF number.
So the greatest common factor 966,6573 is 21.


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 6781/966, 5428/6573

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 6781/966, 5428/6573?

Answer: LCM of Numerators as per given numbers 6781/966, 5428/6573 is

LCM of Numerators i.e. for 6781,5428 is 36807268

GCF of denominators i.e. for 966,6573 is 21.

Thus, LCM of Fractions is 36807268/21.Finally, LCM of Fractions for 6781/966, 5428/6573 is 36807268/21.