Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/572, 413/848, 977/415 quickly i.e. 8877022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/572, 413/848, 977/415 is 8877022.
LCM(22/572, 413/848, 977/415) = 8877022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/572,413/848,977/415
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 22,413,977
Least Common Multiple of Numerators i.e. LCM of 22,413,977 is 8877022.
GCF of Denominators means GCF of 572,848,415 as per the given fractions.
GCF of 572,848,415 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,413,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 8877022
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 22,413,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,413,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,413,977) x common factors =1 x 1 = 1
LCM(22,413,977) = ( 22 × 413 × 977 ) / 1
LCM(22,413,977) = 8877022 / 1
LCM(22,413,977) = 8877022
Lets's calculate GCF of 572,848,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8877022/1
Therefore the LCM of Fractions 22/572,413/848,977/415 is 8877022
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 572,848,415 . The biggest common factor number is the GCF number.
So the greatest common factor 572,848,415 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 22/572, 413/848, 977/415?
Answer: LCM of Numerators as per given numbers 22/572, 413/848, 977/415 is
LCM of Numerators i.e. for 22,413,977 is 8877022
GCF of denominators i.e. for 572,848,415 is 1.
Thus, LCM of Fractions is 8877022.Finally, LCM of Fractions for 22/572, 413/848, 977/415 is 8877022.