Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 886/22, 118/9516 quickly i.e. 26137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 886/22, 118/9516 is 26137.
LCM(886/22, 118/9516) = 26137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 886/22,118/9516
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 886,118
Least Common Multiple of Numerators i.e. LCM of 886,118 is 52274.
GCF of Denominators means GCF of 22,9516 as per the given fractions.
GCF of 22,9516 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 886,118
2 | 886, 118 |
443, 59 |
∴ So the LCM of the given numbers is 2 x 443 x 59 = 52274
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 886,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,118) x common factors =2 x 1 = 2
LCM(886,118) = ( 886 × 118 ) / 2
LCM(886,118) = 104548 / 2
LCM(886,118) = 52274
Lets's calculate GCF of 22,9516
2 | 22, 9516 |
11, 4758 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52274/2
Therefore the LCM of Fractions 886/22,118/9516 is 26137
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 9516
List of positive integer factors of 9516 that divides 9516 without a remainder.
1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516
Greatest Common Factor
We found the factors 22,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9516 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 886/22, 118/9516?
Answer: LCM of Numerators as per given numbers 886/22, 118/9516 is
LCM of Numerators i.e. for 886,118 is 52274
GCF of denominators i.e. for 22,9516 is 2.
Thus, LCM of Fractions is 26137.Finally, LCM of Fractions for 886/22, 118/9516 is 26137.