Least Common Multiple of 921/48, 633/3666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/48, 633/3666 quickly i.e. 194331/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/48, 633/3666 is 194331/6.

LCM(921/48, 633/3666) = 194331/6

LCM of 921/48, 633/3666

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 921/48,633/3666

Given numbers are 921/48,633/3666

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 921,633

Least Common Multiple of Numerators i.e. LCM of 921,633 is 194331.

GCF of Denominators means GCF of 48,3666 as per the given fractions.

GCF of 48,3666 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,633

LCM of Fractions 921/48,633/3666 is 194331/6

3 921, 633
307, 211

∴ So the LCM of the given numbers is 3 x 307 x 211 = 194331

Least Common Multiple of 921,633 with GCF Formula

Least Common Multiple of 921,633 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 921,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,633) = 3

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

GCF(921,633) x common factors =3 x 1 = 3

LCM(921,633) = ( 921 × 633 ) / 3

LCM(921,633) = 582993 / 3

LCM(921,633) = 194331


Lets's calculate GCF of 48,3666

2 48, 3666
3 24, 1833
8, 611

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194331/6

Therefore the LCM of Fractions 921/48,633/3666 is 194331/6

Greatest Common Factor of 48,3666 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3666 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 3666

List of positive integer factors of 3666 that divides 3666 without a remainder.

1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666

Greatest Common Factor

We found the factors 48,3666 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3666 is 6.


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 921/48, 633/3666

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 921/48, 633/3666?

Answer: LCM of Numerators as per given numbers 921/48, 633/3666 is

LCM of Numerators i.e. for 921,633 is 194331

GCF of denominators i.e. for 48,3666 is 6.

Thus, LCM of Fractions is 194331/6.Finally, LCM of Fractions for 921/48, 633/3666 is 194331/6.