Least Common Multiple of 33/820, 695/401, 508/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/820, 695/401, 508/402 quickly i.e. 11650980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/820, 695/401, 508/402 is 11650980.

LCM(33/820, 695/401, 508/402) = 11650980

LCM of 33/820, 695/401, 508/402

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 33/820,695/401,508/402

Given numbers are 33/820,695/401,508/402

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 33,695,508

Least Common Multiple of Numerators i.e. LCM of 33,695,508 is 11650980.

GCF of Denominators means GCF of 820,401,402 as per the given fractions.

GCF of 820,401,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,695,508

LCM of Fractions 33/820,695/401,508/402 is 11650980

Given numbers has no common factors except 1. So, there LCM is their product i.e 11650980

Least Common Multiple of 33,695,508 with GCF Formula

Least Common Multiple of 33,695,508 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 33,695,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,695,508) = 1

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

GCF(33,695,508) x common factors =1 x 1 = 1

LCM(33,695,508) = ( 33 × 695 × 508 ) / 1

LCM(33,695,508) = 11650980 / 1

LCM(33,695,508) = 11650980


Lets's calculate GCF of 820,401,402

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11650980/1

Therefore the LCM of Fractions 33/820,695/401,508/402 is 11650980

Greatest Common Factor of 820,401,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,401,402 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 820,401,402 . The biggest common factor number is the GCF number.
So the greatest common factor 820,401,402 is 1.


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 33/820, 695/401, 508/402

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 33/820, 695/401, 508/402?

Answer: LCM of Numerators as per given numbers 33/820, 695/401, 508/402 is

LCM of Numerators i.e. for 33,695,508 is 11650980

GCF of denominators i.e. for 820,401,402 is 1.

Thus, LCM of Fractions is 11650980.Finally, LCM of Fractions for 33/820, 695/401, 508/402 is 11650980.