Least Common Multiple of 75/229, 108/565, 993/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/229, 108/565, 993/699 quickly i.e. 893700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/229, 108/565, 993/699 is 893700.

LCM(75/229, 108/565, 993/699) = 893700

LCM of 75/229, 108/565, 993/699

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 75/229,108/565,993/699

Given numbers are 75/229,108/565,993/699

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 75,108,993

Least Common Multiple of Numerators i.e. LCM of 75,108,993 is 893700.

GCF of Denominators means GCF of 229,565,699 as per the given fractions.

GCF of 229,565,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,108,993

LCM of Fractions 75/229,108/565,993/699 is 893700

3 75, 108, 993
25, 36, 331

∴ So the LCM of the given numbers is 3 x 25 x 36 x 331 = 893700

Least Common Multiple of 75,108,993 with GCF Formula

Least Common Multiple of 75,108,993 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 75,108,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,108,993) = 3

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

GCF(75,108,993) x common factors =3 x 3 = 9

LCM(75,108,993) = ( 75 × 108 × 993 ) / 9

LCM(75,108,993) = 8043300 / 9

LCM(75,108,993) = 893700


Lets's calculate GCF of 229,565,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 893700/1

Therefore the LCM of Fractions 75/229,108/565,993/699 is 893700

Greatest Common Factor of 229,565,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,565,699 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 229,565,699 . The biggest common factor number is the GCF number.
So the greatest common factor 229,565,699 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 75/229, 108/565, 993/699

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 75/229, 108/565, 993/699?

Answer: LCM of Numerators as per given numbers 75/229, 108/565, 993/699 is

LCM of Numerators i.e. for 75,108,993 is 893700

GCF of denominators i.e. for 229,565,699 is 1.

Thus, LCM of Fractions is 893700.Finally, LCM of Fractions for 75/229, 108/565, 993/699 is 893700.