Least Common Multiple of 693/28, 255/9255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/28, 255/9255 quickly i.e. 58905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/28, 255/9255 is 58905.

LCM(693/28, 255/9255) = 58905

LCM of 693/28, 255/9255

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 693/28,255/9255

Given numbers are 693/28,255/9255

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 693,255

Least Common Multiple of Numerators i.e. LCM of 693,255 is 58905.

GCF of Denominators means GCF of 28,9255 as per the given fractions.

GCF of 28,9255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,255

LCM of Fractions 693/28,255/9255 is 58905

3 693, 255
231, 85

∴ So the LCM of the given numbers is 3 x 231 x 85 = 58905

Least Common Multiple of 693,255 with GCF Formula

Least Common Multiple of 693,255 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 693,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,255) = 3

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

GCF(693,255) x common factors =3 x 1 = 3

LCM(693,255) = ( 693 × 255 ) / 3

LCM(693,255) = 176715 / 3

LCM(693,255) = 58905


Lets's calculate GCF of 28,9255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58905/1

Therefore the LCM of Fractions 693/28,255/9255 is 58905

Greatest Common Factor of 28,9255 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,9255 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors 28,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 28,9255 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 693/28, 255/9255

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 693/28, 255/9255?

Answer: LCM of Numerators as per given numbers 693/28, 255/9255 is

LCM of Numerators i.e. for 693,255 is 58905

GCF of denominators i.e. for 28,9255 is 1.

Thus, LCM of Fractions is 58905.Finally, LCM of Fractions for 693/28, 255/9255 is 58905.