Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/556, 9907/1622 quickly i.e. 79256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/556, 9907/1622 is 79256.
LCM(16/556, 9907/1622) = 79256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/556,9907/1622
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 16,9907
Least Common Multiple of Numerators i.e. LCM of 16,9907 is 158512.
GCF of Denominators means GCF of 556,1622 as per the given fractions.
GCF of 556,1622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,9907
Given numbers has no common factors except 1. So, there LCM is their product i.e 158512
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 16,9907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,9907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,9907) x common factors =1 x 1 = 1
LCM(16,9907) = ( 16 × 9907 ) / 1
LCM(16,9907) = 158512 / 1
LCM(16,9907) = 158512
Lets's calculate GCF of 556,1622
2 | 556, 1622 |
278, 811 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158512/2
Therefore the LCM of Fractions 16/556,9907/1622 is 79256
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 1622
List of positive integer factors of 1622 that divides 1622 without a remainder.
1,2,811,1622
Greatest Common Factor
We found the factors 556,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 556,1622 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 16/556, 9907/1622?
Answer: LCM of Numerators as per given numbers 16/556, 9907/1622 is
LCM of Numerators i.e. for 16,9907 is 158512
GCF of denominators i.e. for 556,1622 is 2.
Thus, LCM of Fractions is 79256.Finally, LCM of Fractions for 16/556, 9907/1622 is 79256.