Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/16, 445/5422 quickly i.e. 372465/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/16, 445/5422 is 372465/2.
LCM(837/16, 445/5422) = 372465/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/16,445/5422
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 837,445
Least Common Multiple of Numerators i.e. LCM of 837,445 is 372465.
GCF of Denominators means GCF of 16,5422 as per the given fractions.
GCF of 16,5422 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 372465
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 837,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,445) x common factors =1 x 1 = 1
LCM(837,445) = ( 837 × 445 ) / 1
LCM(837,445) = 372465 / 1
LCM(837,445) = 372465
Lets's calculate GCF of 16,5422
2 | 16, 5422 |
8, 2711 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372465/2
Therefore the LCM of Fractions 837/16,445/5422 is 372465/2
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 5422
List of positive integer factors of 5422 that divides 5422 without a remainder.
1,2,2711,5422
Greatest Common Factor
We found the factors 16,5422 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5422 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 837/16, 445/5422?
Answer: LCM of Numerators as per given numbers 837/16, 445/5422 is
LCM of Numerators i.e. for 837,445 is 372465
GCF of denominators i.e. for 16,5422 is 2.
Thus, LCM of Fractions is 372465/2.Finally, LCM of Fractions for 837/16, 445/5422 is 372465/2.