Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 592/19, 293/62, 914/578 quickly i.e. 79269392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 592/19, 293/62, 914/578 is 79269392.
LCM(592/19, 293/62, 914/578) = 79269392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 592/19,293/62,914/578
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 592,293,914
Least Common Multiple of Numerators i.e. LCM of 592,293,914 is 79269392.
GCF of Denominators means GCF of 19,62,578 as per the given fractions.
GCF of 19,62,578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 592,293,914
2 | 592, 293, 914 |
296, 293, 457 |
∴ So the LCM of the given numbers is 2 x 296 x 293 x 457 = 79269392
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 592,293,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,293,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(592,293,914) x common factors =1 x 2 = 2
LCM(592,293,914) = ( 592 × 293 × 914 ) / 2
LCM(592,293,914) = 158538784 / 2
LCM(592,293,914) = 79269392
Lets's calculate GCF of 19,62,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79269392/1
Therefore the LCM of Fractions 592/19,293/62,914/578 is 79269392
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 19,62,578 . The biggest common factor number is the GCF number.
So the greatest common factor 19,62,578 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 592/19, 293/62, 914/578?
Answer: LCM of Numerators as per given numbers 592/19, 293/62, 914/578 is
LCM of Numerators i.e. for 592,293,914 is 79269392
GCF of denominators i.e. for 19,62,578 is 1.
Thus, LCM of Fractions is 79269392.Finally, LCM of Fractions for 592/19, 293/62, 914/578 is 79269392.