Least Common Multiple of 205/60, 693/8553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/60, 693/8553 quickly i.e. 47355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/60, 693/8553 is 47355.

LCM(205/60, 693/8553) = 47355

LCM of 205/60, 693/8553

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 205/60,693/8553

Given numbers are 205/60,693/8553

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 205,693

Least Common Multiple of Numerators i.e. LCM of 205,693 is 142065.

GCF of Denominators means GCF of 60,8553 as per the given fractions.

GCF of 60,8553 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,693

LCM of Fractions 205/60,693/8553 is 47355

Given numbers has no common factors except 1. So, there LCM is their product i.e 142065

Least Common Multiple of 205,693 with GCF Formula

Least Common Multiple of 205,693 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 205,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,693) = 1

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

GCF(205,693) x common factors =1 x 1 = 1

LCM(205,693) = ( 205 × 693 ) / 1

LCM(205,693) = 142065 / 1

LCM(205,693) = 142065


Lets's calculate GCF of 60,8553

3 60, 8553
20, 2851

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142065/3

Therefore the LCM of Fractions 205/60,693/8553 is 47355

Greatest Common Factor of 60,8553 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,8553 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 8553

List of positive integer factors of 8553 that divides 8553 without a remainder.

1,3,2851,8553

Greatest Common Factor

We found the factors 60,8553 . The biggest common factor number is the GCF number.
So the greatest common factor 60,8553 is 3.


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 205/60, 693/8553

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 205/60, 693/8553?

Answer: LCM of Numerators as per given numbers 205/60, 693/8553 is

LCM of Numerators i.e. for 205,693 is 142065

GCF of denominators i.e. for 60,8553 is 3.

Thus, LCM of Fractions is 47355.Finally, LCM of Fractions for 205/60, 693/8553 is 47355.