Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/44, 76/50, 16/71, 513/80 quickly i.e. 57456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/44, 76/50, 16/71, 513/80 is 57456.
LCM(42/44, 76/50, 16/71, 513/80) = 57456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/44,76/50,16/71,513/80
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 42,76,16,513
Least Common Multiple of Numerators i.e. LCM of 42,76,16,513 is 57456.
GCF of Denominators means GCF of 44,50,71,80 as per the given fractions.
GCF of 44,50,71,80 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,76,16,513
2 | 42, 76, 16, 513 |
2 | 21, 38, 8, 513 |
3 | 21, 19, 4, 513 |
19 | 7, 19, 4, 171 |
7, 1, 4, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 7 x 1 x 4 x 9 = 57456
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 42,76,16,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,76,16,513) = 1
common factors(in case of two or more numbers have common factors) = 456
GCF(42,76,16,513) x common factors =1 x 456 = 456
LCM(42,76,16,513) = ( 42 × 76 × 16 × 513 ) / 456
LCM(42,76,16,513) = 26199936 / 456
LCM(42,76,16,513) = 57456
Lets's calculate GCF of 44,50,71,80
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57456/1
Therefore the LCM of Fractions 42/44,76/50,16/71,513/80 is 57456
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 44,50,71,80 . The biggest common factor number is the GCF number.
So the greatest common factor 44,50,71,80 is 1.
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 42/44, 76/50, 16/71, 513/80?
Answer: LCM of Numerators as per given numbers 42/44, 76/50, 16/71, 513/80 is
LCM of Numerators i.e. for 42,76,16,513 is 57456
GCF of denominators i.e. for 44,50,71,80 is 1.
Thus, LCM of Fractions is 57456.Finally, LCM of Fractions for 42/44, 76/50, 16/71, 513/80 is 57456.