Least Common Multiple of 33/513, 377/453, 245/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/513, 377/453, 245/693 quickly i.e. 1016015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/513, 377/453, 245/693 is 1016015.

LCM(33/513, 377/453, 245/693) = 1016015

LCM of 33/513, 377/453, 245/693

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 33/513,377/453,245/693

Given numbers are 33/513,377/453,245/693

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 33,377,245

Least Common Multiple of Numerators i.e. LCM of 33,377,245 is 3048045.

GCF of Denominators means GCF of 513,453,693 as per the given fractions.

GCF of 513,453,693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,377,245

LCM of Fractions 33/513,377/453,245/693 is 1016015

Given numbers has no common factors except 1. So, there LCM is their product i.e 3048045

Least Common Multiple of 33,377,245 with GCF Formula

Least Common Multiple of 33,377,245 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 33,377,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,377,245) = 1

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

GCF(33,377,245) x common factors =1 x 1 = 1

LCM(33,377,245) = ( 33 × 377 × 245 ) / 1

LCM(33,377,245) = 3048045 / 1

LCM(33,377,245) = 3048045


Lets's calculate GCF of 513,453,693

3 513, 453, 693
171, 151, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3048045/3

Therefore the LCM of Fractions 33/513,377/453,245/693 is 1016015

Greatest Common Factor of 513,453,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,453,693 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 513,453,693 . The biggest common factor number is the GCF number.
So the greatest common factor 513,453,693 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 33/513, 377/453, 245/693

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 33/513, 377/453, 245/693?

Answer: LCM of Numerators as per given numbers 33/513, 377/453, 245/693 is

LCM of Numerators i.e. for 33,377,245 is 3048045

GCF of denominators i.e. for 513,453,693 is 3.

Thus, LCM of Fractions is 1016015.Finally, LCM of Fractions for 33/513, 377/453, 245/693 is 1016015.