Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/655, 653/524, 221/563 quickly i.e. 5772520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/655, 653/524, 221/563 is 5772520.
LCM(40/655, 653/524, 221/563) = 5772520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/655,653/524,221/563
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 40,653,221
Least Common Multiple of Numerators i.e. LCM of 40,653,221 is 5772520.
GCF of Denominators means GCF of 655,524,563 as per the given fractions.
GCF of 655,524,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,653,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 5772520
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 40,653,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,653,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,653,221) x common factors =1 x 1 = 1
LCM(40,653,221) = ( 40 × 653 × 221 ) / 1
LCM(40,653,221) = 5772520 / 1
LCM(40,653,221) = 5772520
Lets's calculate GCF of 655,524,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5772520/1
Therefore the LCM of Fractions 40/655,653/524,221/563 is 5772520
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 655,524,563 . The biggest common factor number is the GCF number.
So the greatest common factor 655,524,563 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 40/655, 653/524, 221/563?
Answer: LCM of Numerators as per given numbers 40/655, 653/524, 221/563 is
LCM of Numerators i.e. for 40,653,221 is 5772520
GCF of denominators i.e. for 655,524,563 is 1.
Thus, LCM of Fractions is 5772520.Finally, LCM of Fractions for 40/655, 653/524, 221/563 is 5772520.