Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/427, 786/244, 137/244 quickly i.e. 861456/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/427, 786/244, 137/244 is 861456/61.
LCM(16/427, 786/244, 137/244) = 861456/61
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/427,786/244,137/244
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 16,786,137
Least Common Multiple of Numerators i.e. LCM of 16,786,137 is 861456.
GCF of Denominators means GCF of 427,244,244 as per the given fractions.
GCF of 427,244,244 is 61 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,786,137
2 | 16, 786, 137 |
8, 393, 137 |
∴ So the LCM of the given numbers is 2 x 8 x 393 x 137 = 861456
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 16,786,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,786,137) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,786,137) x common factors =1 x 2 = 2
LCM(16,786,137) = ( 16 × 786 × 137 ) / 2
LCM(16,786,137) = 1722912 / 2
LCM(16,786,137) = 861456
Lets's calculate GCF of 427,244,244
61 | 427, 244, 244 |
7, 4, 4 |
∴ So the GCF of the given numbers is 61 = 61
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 861456/61
Therefore the LCM of Fractions 16/427,786/244,137/244 is 861456/61
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 427,244,244 . The biggest common factor number is the GCF number.
So the greatest common factor 427,244,244 is 61.
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 16/427, 786/244, 137/244?
Answer: LCM of Numerators as per given numbers 16/427, 786/244, 137/244 is
LCM of Numerators i.e. for 16,786,137 is 861456
GCF of denominators i.e. for 427,244,244 is 61.
Thus, LCM of Fractions is 861456/61.Finally, LCM of Fractions for 16/427, 786/244, 137/244 is 861456/61.