Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 886/134, 456/933, 946/997 quickly i.e. 95549784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 886/134, 456/933, 946/997 is 95549784.
LCM(886/134, 456/933, 946/997) = 95549784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 886/134,456/933,946/997
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 886,456,946
Least Common Multiple of Numerators i.e. LCM of 886,456,946 is 95549784.
GCF of Denominators means GCF of 134,933,997 as per the given fractions.
GCF of 134,933,997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 886,456,946
2 | 886, 456, 946 |
443, 228, 473 |
∴ So the LCM of the given numbers is 2 x 443 x 228 x 473 = 95549784
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 886,456,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,456,946) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(886,456,946) x common factors =2 x 2 = 4
LCM(886,456,946) = ( 886 × 456 × 946 ) / 4
LCM(886,456,946) = 382199136 / 4
LCM(886,456,946) = 95549784
Lets's calculate GCF of 134,933,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95549784/1
Therefore the LCM of Fractions 886/134,456/933,946/997 is 95549784
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 134,933,997 . The biggest common factor number is the GCF number.
So the greatest common factor 134,933,997 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 886/134, 456/933, 946/997?
Answer: LCM of Numerators as per given numbers 886/134, 456/933, 946/997 is
LCM of Numerators i.e. for 886,456,946 is 95549784
GCF of denominators i.e. for 134,933,997 is 1.
Thus, LCM of Fractions is 95549784.Finally, LCM of Fractions for 886/134, 456/933, 946/997 is 95549784.