Least Common Multiple of 69/293, 15/529, 304/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/293, 15/529, 304/415 quickly i.e. 104880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/293, 15/529, 304/415 is 104880.

LCM(69/293, 15/529, 304/415) = 104880

LCM of 69/293, 15/529, 304/415

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 69/293,15/529,304/415

Given numbers are 69/293,15/529,304/415

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 69,15,304

Least Common Multiple of Numerators i.e. LCM of 69,15,304 is 104880.

GCF of Denominators means GCF of 293,529,415 as per the given fractions.

GCF of 293,529,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,15,304

LCM of Fractions 69/293,15/529,304/415 is 104880

3 69, 15, 304
23, 5, 304

∴ So the LCM of the given numbers is 3 x 23 x 5 x 304 = 104880

Least Common Multiple of 69,15,304 with GCF Formula

Least Common Multiple of 69,15,304 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 69,15,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,15,304) = 1

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

GCF(69,15,304) x common factors =1 x 3 = 3

LCM(69,15,304) = ( 69 × 15 × 304 ) / 3

LCM(69,15,304) = 314640 / 3

LCM(69,15,304) = 104880


Lets's calculate GCF of 293,529,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104880/1

Therefore the LCM of Fractions 69/293,15/529,304/415 is 104880

Greatest Common Factor of 293,529,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,529,415 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 293,529,415 . The biggest common factor number is the GCF number.
So the greatest common factor 293,529,415 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 69/293, 15/529, 304/415

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 69/293, 15/529, 304/415?

Answer: LCM of Numerators as per given numbers 69/293, 15/529, 304/415 is

LCM of Numerators i.e. for 69,15,304 is 104880

GCF of denominators i.e. for 293,529,415 is 1.

Thus, LCM of Fractions is 104880.Finally, LCM of Fractions for 69/293, 15/529, 304/415 is 104880.