Least Common Multiple of 774/814, 3225/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/814, 3225/333 quickly i.e. 19350/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/814, 3225/333 is 19350/37.

LCM(774/814, 3225/333) = 19350/37

LCM of 774/814, 3225/333

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 774/814,3225/333

Given numbers are 774/814,3225/333

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 774,3225

Least Common Multiple of Numerators i.e. LCM of 774,3225 is 19350.

GCF of Denominators means GCF of 814,333 as per the given fractions.

GCF of 814,333 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,3225

LCM of Fractions 774/814,3225/333 is 19350/37

3 774, 3225
43 258, 1075
6, 25

∴ So the LCM of the given numbers is 3 x 43 x 6 x 25 = 19350

Least Common Multiple of 774,3225 with GCF Formula

Least Common Multiple of 774,3225 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 774,3225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,3225) = 129

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

GCF(774,3225) x common factors =129 x 1 = 129

LCM(774,3225) = ( 774 × 3225 ) / 129

LCM(774,3225) = 2496150 / 129

LCM(774,3225) = 19350


Lets's calculate GCF of 814,333

37 814, 333
22, 9

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19350/37

Therefore the LCM of Fractions 774/814,3225/333 is 19350/37

Greatest Common Factor of 814,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,333 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 814,333 . The biggest common factor number is the GCF number.
So the greatest common factor 814,333 is 37.


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 774/814, 3225/333

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 774/814, 3225/333?

Answer: LCM of Numerators as per given numbers 774/814, 3225/333 is

LCM of Numerators i.e. for 774,3225 is 19350

GCF of denominators i.e. for 814,333 is 37.

Thus, LCM of Fractions is 19350/37.Finally, LCM of Fractions for 774/814, 3225/333 is 19350/37.