Least Common Multiple of 69/75, 33/14, 295/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/75, 33/14, 295/801 quickly i.e. 223905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/75, 33/14, 295/801 is 223905.

LCM(69/75, 33/14, 295/801) = 223905

LCM of 69/75, 33/14, 295/801

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 69/75,33/14,295/801

Given numbers are 69/75,33/14,295/801

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 69,33,295

Least Common Multiple of Numerators i.e. LCM of 69,33,295 is 223905.

GCF of Denominators means GCF of 75,14,801 as per the given fractions.

GCF of 75,14,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,33,295

LCM of Fractions 69/75,33/14,295/801 is 223905

3 69, 33, 295
23, 11, 295

∴ So the LCM of the given numbers is 3 x 23 x 11 x 295 = 223905

Least Common Multiple of 69,33,295 with GCF Formula

Least Common Multiple of 69,33,295 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 69,33,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,33,295) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,33,295) x common factors =1 x 3 = 3

LCM(69,33,295) = ( 69 × 33 × 295 ) / 3

LCM(69,33,295) = 671715 / 3

LCM(69,33,295) = 223905


Lets's calculate GCF of 75,14,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223905/1

Therefore the LCM of Fractions 69/75,33/14,295/801 is 223905

Greatest Common Factor of 75,14,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,14,801 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 75,14,801 . The biggest common factor number is the GCF number.
So the greatest common factor 75,14,801 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 69/75, 33/14, 295/801

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 69/75, 33/14, 295/801?

Answer: LCM of Numerators as per given numbers 69/75, 33/14, 295/801 is

LCM of Numerators i.e. for 69,33,295 is 223905

GCF of denominators i.e. for 75,14,801 is 1.

Thus, LCM of Fractions is 223905.Finally, LCM of Fractions for 69/75, 33/14, 295/801 is 223905.