Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/766, 905/134, 146/317 quickly i.e. 1453430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/766, 905/134, 146/317 is 1453430.
LCM(22/766, 905/134, 146/317) = 1453430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/766,905/134,146/317
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 22,905,146
Least Common Multiple of Numerators i.e. LCM of 22,905,146 is 1453430.
GCF of Denominators means GCF of 766,134,317 as per the given fractions.
GCF of 766,134,317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,905,146
2 | 22, 905, 146 |
11, 905, 73 |
∴ So the LCM of the given numbers is 2 x 11 x 905 x 73 = 1453430
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 22,905,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,905,146) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,905,146) x common factors =1 x 2 = 2
LCM(22,905,146) = ( 22 × 905 × 146 ) / 2
LCM(22,905,146) = 2906860 / 2
LCM(22,905,146) = 1453430
Lets's calculate GCF of 766,134,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453430/1
Therefore the LCM of Fractions 22/766,905/134,146/317 is 1453430
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 766,134,317 . The biggest common factor number is the GCF number.
So the greatest common factor 766,134,317 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 22/766, 905/134, 146/317?
Answer: LCM of Numerators as per given numbers 22/766, 905/134, 146/317 is
LCM of Numerators i.e. for 22,905,146 is 1453430
GCF of denominators i.e. for 766,134,317 is 1.
Thus, LCM of Fractions is 1453430.Finally, LCM of Fractions for 22/766, 905/134, 146/317 is 1453430.