Least Common Multiple of 643/48, 994/1935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/48, 994/1935 quickly i.e. 639142/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/48, 994/1935 is 639142/3.

LCM(643/48, 994/1935) = 639142/3

LCM of 643/48, 994/1935

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 643/48,994/1935

Given numbers are 643/48,994/1935

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 643,994

Least Common Multiple of Numerators i.e. LCM of 643,994 is 639142.

GCF of Denominators means GCF of 48,1935 as per the given fractions.

GCF of 48,1935 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,994

LCM of Fractions 643/48,994/1935 is 639142/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 639142

Least Common Multiple of 643,994 with GCF Formula

Least Common Multiple of 643,994 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 643,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,994) = 1

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

GCF(643,994) x common factors =1 x 1 = 1

LCM(643,994) = ( 643 × 994 ) / 1

LCM(643,994) = 639142 / 1

LCM(643,994) = 639142


Lets's calculate GCF of 48,1935

3 48, 1935
16, 645

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639142/3

Therefore the LCM of Fractions 643/48,994/1935 is 639142/3

Greatest Common Factor of 48,1935 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,1935 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 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1,3,5,9,15,43,45,129,215,387,645,1935

Greatest Common Factor

We found the factors 48,1935 . The biggest common factor number is the GCF number.
So the greatest common factor 48,1935 is 3.


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 643/48, 994/1935

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 643/48, 994/1935?

Answer: LCM of Numerators as per given numbers 643/48, 994/1935 is

LCM of Numerators i.e. for 643,994 is 639142

GCF of denominators i.e. for 48,1935 is 3.

Thus, LCM of Fractions is 639142/3.Finally, LCM of Fractions for 643/48, 994/1935 is 639142/3.