Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/90, 77/956, 997/119 quickly i.e. 307076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/90, 77/956, 997/119 is 307076.
LCM(44/90, 77/956, 997/119) = 307076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/90,77/956,997/119
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 44,77,997
Least Common Multiple of Numerators i.e. LCM of 44,77,997 is 307076.
GCF of Denominators means GCF of 90,956,119 as per the given fractions.
GCF of 90,956,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,77,997
11 | 44, 77, 997 |
4, 7, 997 |
∴ So the LCM of the given numbers is 11 x 4 x 7 x 997 = 307076
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 44,77,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,77,997) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(44,77,997) x common factors =1 x 11 = 11
LCM(44,77,997) = ( 44 × 77 × 997 ) / 11
LCM(44,77,997) = 3377836 / 11
LCM(44,77,997) = 307076
Lets's calculate GCF of 90,956,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307076/1
Therefore the LCM of Fractions 44/90,77/956,997/119 is 307076
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 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 90,956,119 . The biggest common factor number is the GCF number.
So the greatest common factor 90,956,119 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 44/90, 77/956, 997/119?
Answer: LCM of Numerators as per given numbers 44/90, 77/956, 997/119 is
LCM of Numerators i.e. for 44,77,997 is 307076
GCF of denominators i.e. for 90,956,119 is 1.
Thus, LCM of Fractions is 307076.Finally, LCM of Fractions for 44/90, 77/956, 997/119 is 307076.