Least Common Multiple of 33/628, 65/706, 913/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/628, 65/706, 913/994 quickly i.e. 178035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/628, 65/706, 913/994 is 178035/2.

LCM(33/628, 65/706, 913/994) = 178035/2

LCM of 33/628, 65/706, 913/994

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 33/628,65/706,913/994

Given numbers are 33/628,65/706,913/994

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 33,65,913

Least Common Multiple of Numerators i.e. LCM of 33,65,913 is 178035.

GCF of Denominators means GCF of 628,706,994 as per the given fractions.

GCF of 628,706,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,65,913

LCM of Fractions 33/628,65/706,913/994 is 178035/2

11 33, 65, 913
3, 65, 83

∴ So the LCM of the given numbers is 11 x 3 x 65 x 83 = 178035

Least Common Multiple of 33,65,913 with GCF Formula

Least Common Multiple of 33,65,913 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 33,65,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,65,913) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,65,913) x common factors =1 x 11 = 11

LCM(33,65,913) = ( 33 × 65 × 913 ) / 11

LCM(33,65,913) = 1958385 / 11

LCM(33,65,913) = 178035


Lets's calculate GCF of 628,706,994

2 628, 706, 994
314, 353, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178035/2

Therefore the LCM of Fractions 33/628,65/706,913/994 is 178035/2

Greatest Common Factor of 628,706,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,706,994 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 628,706,994 . The biggest common factor number is the GCF number.
So the greatest common factor 628,706,994 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 33/628, 65/706, 913/994

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 33/628, 65/706, 913/994?

Answer: LCM of Numerators as per given numbers 33/628, 65/706, 913/994 is

LCM of Numerators i.e. for 33,65,913 is 178035

GCF of denominators i.e. for 628,706,994 is 2.

Thus, LCM of Fractions is 178035/2.Finally, LCM of Fractions for 33/628, 65/706, 913/994 is 178035/2.