Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 530/22, 575/93, 898/661 quickly i.e. 27366550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 530/22, 575/93, 898/661 is 27366550.
LCM(530/22, 575/93, 898/661) = 27366550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 530/22,575/93,898/661
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 530,575,898
Least Common Multiple of Numerators i.e. LCM of 530,575,898 is 27366550.
GCF of Denominators means GCF of 22,93,661 as per the given fractions.
GCF of 22,93,661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 530,575,898
2 | 530, 575, 898 |
5 | 265, 575, 449 |
53, 115, 449 |
∴ So the LCM of the given numbers is 2 x 5 x 53 x 115 x 449 = 27366550
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 530,575,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,575,898) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(530,575,898) x common factors =1 x 10 = 10
LCM(530,575,898) = ( 530 × 575 × 898 ) / 10
LCM(530,575,898) = 273665500 / 10
LCM(530,575,898) = 27366550
Lets's calculate GCF of 22,93,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27366550/1
Therefore the LCM of Fractions 530/22,575/93,898/661 is 27366550
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 22,93,661 . The biggest common factor number is the GCF number.
So the greatest common factor 22,93,661 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 530/22, 575/93, 898/661?
Answer: LCM of Numerators as per given numbers 530/22, 575/93, 898/661 is
LCM of Numerators i.e. for 530,575,898 is 27366550
GCF of denominators i.e. for 22,93,661 is 1.
Thus, LCM of Fractions is 27366550.Finally, LCM of Fractions for 530/22, 575/93, 898/661 is 27366550.