Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/90, 383/3577 quickly i.e. 46726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/90, 383/3577 is 46726.
LCM(122/90, 383/3577) = 46726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/90,383/3577
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 122,383
Least Common Multiple of Numerators i.e. LCM of 122,383 is 46726.
GCF of Denominators means GCF of 90,3577 as per the given fractions.
GCF of 90,3577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 46726
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 122,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,383) x common factors =1 x 1 = 1
LCM(122,383) = ( 122 × 383 ) / 1
LCM(122,383) = 46726 / 1
LCM(122,383) = 46726
Lets's calculate GCF of 90,3577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46726/1
Therefore the LCM of Fractions 122/90,383/3577 is 46726
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 3577
List of positive integer factors of 3577 that divides 3577 without a remainder.
1,7,49,73,511,3577
Greatest Common Factor
We found the factors 90,3577 . The biggest common factor number is the GCF number.
So the greatest common factor 90,3577 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 122/90, 383/3577?
Answer: LCM of Numerators as per given numbers 122/90, 383/3577 is
LCM of Numerators i.e. for 122,383 is 46726
GCF of denominators i.e. for 90,3577 is 1.
Thus, LCM of Fractions is 46726.Finally, LCM of Fractions for 122/90, 383/3577 is 46726.