Least Common Multiple of 33/486, 6727/6462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/486, 6727/6462 quickly i.e. 221991/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/486, 6727/6462 is 221991/18.

LCM(33/486, 6727/6462) = 221991/18

LCM of 33/486, 6727/6462

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 33/486,6727/6462

Given numbers are 33/486,6727/6462

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 33,6727

Least Common Multiple of Numerators i.e. LCM of 33,6727 is 221991.

GCF of Denominators means GCF of 486,6462 as per the given fractions.

GCF of 486,6462 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,6727

LCM of Fractions 33/486,6727/6462 is 221991/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 221991

Least Common Multiple of 33,6727 with GCF Formula

Least Common Multiple of 33,6727 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 33,6727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,6727) = 1

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

GCF(33,6727) x common factors =1 x 1 = 1

LCM(33,6727) = ( 33 × 6727 ) / 1

LCM(33,6727) = 221991 / 1

LCM(33,6727) = 221991


Lets's calculate GCF of 486,6462

2 486, 6462
3 243, 3231
3 81, 1077
27, 359

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221991/18

Therefore the LCM of Fractions 33/486,6727/6462 is 221991/18

Greatest Common Factor of 486,6462 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,6462 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Greatest Common Factor

We found the factors 486,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 486,6462 is 18.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/486, 6727/6462

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 33/486, 6727/6462?

Answer: LCM of Numerators as per given numbers 33/486, 6727/6462 is

LCM of Numerators i.e. for 33,6727 is 221991

GCF of denominators i.e. for 486,6462 is 18.

Thus, LCM of Fractions is 221991/18.Finally, LCM of Fractions for 33/486, 6727/6462 is 221991/18.