Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/919, 905/728, 134/759 quickly i.e. 1333970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/919, 905/728, 134/759 is 1333970.
LCM(22/919, 905/728, 134/759) = 1333970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/919,905/728,134/759
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 22,905,134
Least Common Multiple of Numerators i.e. LCM of 22,905,134 is 1333970.
GCF of Denominators means GCF of 919,728,759 as per the given fractions.
GCF of 919,728,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,905,134
2 | 22, 905, 134 |
11, 905, 67 |
∴ So the LCM of the given numbers is 2 x 11 x 905 x 67 = 1333970
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 22,905,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,905,134) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,905,134) x common factors =1 x 2 = 2
LCM(22,905,134) = ( 22 × 905 × 134 ) / 2
LCM(22,905,134) = 2667940 / 2
LCM(22,905,134) = 1333970
Lets's calculate GCF of 919,728,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1333970/1
Therefore the LCM of Fractions 22/919,905/728,134/759 is 1333970
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 919,728,759 . The biggest common factor number is the GCF number.
So the greatest common factor 919,728,759 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 22/919, 905/728, 134/759?
Answer: LCM of Numerators as per given numbers 22/919, 905/728, 134/759 is
LCM of Numerators i.e. for 22,905,134 is 1333970
GCF of denominators i.e. for 919,728,759 is 1.
Thus, LCM of Fractions is 1333970.Finally, LCM of Fractions for 22/919, 905/728, 134/759 is 1333970.