Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/84, 85/19, 60/96, 42/552 quickly i.e. 35700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/84, 85/19, 60/96, 42/552 is 35700.
LCM(50/84, 85/19, 60/96, 42/552) = 35700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/84,85/19,60/96,42/552
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 50,85,60,42
Least Common Multiple of Numerators i.e. LCM of 50,85,60,42 is 35700.
GCF of Denominators means GCF of 84,19,96,552 as per the given fractions.
GCF of 84,19,96,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,85,60,42
2 | 50, 85, 60, 42 |
3 | 25, 85, 30, 21 |
5 | 25, 85, 10, 7 |
5, 17, 2, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 17 x 2 x 7 = 35700
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 50,85,60,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,85,60,42) = 1
common factors(in case of two or more numbers have common factors) = 300
GCF(50,85,60,42) x common factors =1 x 300 = 300
LCM(50,85,60,42) = ( 50 × 85 × 60 × 42 ) / 300
LCM(50,85,60,42) = 10710000 / 300
LCM(50,85,60,42) = 35700
Lets's calculate GCF of 84,19,96,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35700/1
Therefore the LCM of Fractions 50/84,85/19,60/96,42/552 is 35700
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 84,19,96,552 . The biggest common factor number is the GCF number.
So the greatest common factor 84,19,96,552 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 50/84, 85/19, 60/96, 42/552?
Answer: LCM of Numerators as per given numbers 50/84, 85/19, 60/96, 42/552 is
LCM of Numerators i.e. for 50,85,60,42 is 35700
GCF of denominators i.e. for 84,19,96,552 is 1.
Thus, LCM of Fractions is 35700.Finally, LCM of Fractions for 50/84, 85/19, 60/96, 42/552 is 35700.