Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/939, 21/163, 424/334 quickly i.e. 222600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/939, 21/163, 424/334 is 222600.
LCM(75/939, 21/163, 424/334) = 222600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/939,21/163,424/334
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 75,21,424
Least Common Multiple of Numerators i.e. LCM of 75,21,424 is 222600.
GCF of Denominators means GCF of 939,163,334 as per the given fractions.
GCF of 939,163,334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,21,424
3 | 75, 21, 424 |
25, 7, 424 |
∴ So the LCM of the given numbers is 3 x 25 x 7 x 424 = 222600
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 75,21,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,21,424) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,21,424) x common factors =1 x 3 = 3
LCM(75,21,424) = ( 75 × 21 × 424 ) / 3
LCM(75,21,424) = 667800 / 3
LCM(75,21,424) = 222600
Lets's calculate GCF of 939,163,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222600/1
Therefore the LCM of Fractions 75/939,21/163,424/334 is 222600
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 939,163,334 . The biggest common factor number is the GCF number.
So the greatest common factor 939,163,334 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 75/939, 21/163, 424/334?
Answer: LCM of Numerators as per given numbers 75/939, 21/163, 424/334 is
LCM of Numerators i.e. for 75,21,424 is 222600
GCF of denominators i.e. for 939,163,334 is 1.
Thus, LCM of Fractions is 222600.Finally, LCM of Fractions for 75/939, 21/163, 424/334 is 222600.