Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/956, 5332/186 quickly i.e. 829126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/956, 5332/186 is 829126.
LCM(622/956, 5332/186) = 829126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/956,5332/186
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 622,5332
Least Common Multiple of Numerators i.e. LCM of 622,5332 is 1658252.
GCF of Denominators means GCF of 956,186 as per the given fractions.
GCF of 956,186 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,5332
2 | 622, 5332 |
311, 2666 |
∴ So the LCM of the given numbers is 2 x 311 x 2666 = 1658252
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 622,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,5332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,5332) x common factors =2 x 1 = 2
LCM(622,5332) = ( 622 × 5332 ) / 2
LCM(622,5332) = 3316504 / 2
LCM(622,5332) = 1658252
Lets's calculate GCF of 956,186
2 | 956, 186 |
478, 93 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1658252/2
Therefore the LCM of Fractions 622/956,5332/186 is 829126
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 956,186 . The biggest common factor number is the GCF number.
So the greatest common factor 956,186 is 2.
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 622/956, 5332/186?
Answer: LCM of Numerators as per given numbers 622/956, 5332/186 is
LCM of Numerators i.e. for 622,5332 is 1658252
GCF of denominators i.e. for 956,186 is 2.
Thus, LCM of Fractions is 829126.Finally, LCM of Fractions for 622/956, 5332/186 is 829126.