Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 592/72, 596/56, 425/283 quickly i.e. 37488400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 592/72, 596/56, 425/283 is 37488400.
LCM(592/72, 596/56, 425/283) = 37488400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 592/72,596/56,425/283
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 592,596,425
Least Common Multiple of Numerators i.e. LCM of 592,596,425 is 37488400.
GCF of Denominators means GCF of 72,56,283 as per the given fractions.
GCF of 72,56,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 592,596,425
2 | 592, 596, 425 |
2 | 296, 298, 425 |
148, 149, 425 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 149 x 425 = 37488400
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 592,596,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,596,425) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(592,596,425) x common factors =1 x 4 = 4
LCM(592,596,425) = ( 592 × 596 × 425 ) / 4
LCM(592,596,425) = 149953600 / 4
LCM(592,596,425) = 37488400
Lets's calculate GCF of 72,56,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37488400/1
Therefore the LCM of Fractions 592/72,596/56,425/283 is 37488400
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 72,56,283 . The biggest common factor number is the GCF number.
So the greatest common factor 72,56,283 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 592/72, 596/56, 425/283?
Answer: LCM of Numerators as per given numbers 592/72, 596/56, 425/283 is
LCM of Numerators i.e. for 592,596,425 is 37488400
GCF of denominators i.e. for 72,56,283 is 1.
Thus, LCM of Fractions is 37488400.Finally, LCM of Fractions for 592/72, 596/56, 425/283 is 37488400.