Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/800, 21/875, 542/595 quickly i.e. 147966/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/800, 21/875, 542/595 is 147966/5.
LCM(39/800, 21/875, 542/595) = 147966/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/800,21/875,542/595
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 39,21,542
Least Common Multiple of Numerators i.e. LCM of 39,21,542 is 147966.
GCF of Denominators means GCF of 800,875,595 as per the given fractions.
GCF of 800,875,595 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,21,542
3 | 39, 21, 542 |
13, 7, 542 |
∴ So the LCM of the given numbers is 3 x 13 x 7 x 542 = 147966
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 39,21,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,21,542) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,21,542) x common factors =1 x 3 = 3
LCM(39,21,542) = ( 39 × 21 × 542 ) / 3
LCM(39,21,542) = 443898 / 3
LCM(39,21,542) = 147966
Lets's calculate GCF of 800,875,595
5 | 800, 875, 595 |
160, 175, 119 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147966/5
Therefore the LCM of Fractions 39/800,21/875,542/595 is 147966/5
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 800,875,595 . The biggest common factor number is the GCF number.
So the greatest common factor 800,875,595 is 5.
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 39/800, 21/875, 542/595?
Answer: LCM of Numerators as per given numbers 39/800, 21/875, 542/595 is
LCM of Numerators i.e. for 39,21,542 is 147966
GCF of denominators i.e. for 800,875,595 is 5.
Thus, LCM of Fractions is 147966/5.Finally, LCM of Fractions for 39/800, 21/875, 542/595 is 147966/5.