Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1783/88, 9548/594 quickly i.e. 773822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1783/88, 9548/594 is 773822.
LCM(1783/88, 9548/594) = 773822
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1783/88,9548/594
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 1783,9548
Least Common Multiple of Numerators i.e. LCM of 1783,9548 is 17024084.
GCF of Denominators means GCF of 88,594 as per the given fractions.
GCF of 88,594 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1783,9548
Given numbers has no common factors except 1. So, there LCM is their product i.e 17024084
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 1783,9548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1783,9548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1783,9548) x common factors =1 x 1 = 1
LCM(1783,9548) = ( 1783 × 9548 ) / 1
LCM(1783,9548) = 17024084 / 1
LCM(1783,9548) = 17024084
Lets's calculate GCF of 88,594
2 | 88, 594 |
11 | 44, 297 |
4, 27 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17024084/22
Therefore the LCM of Fractions 1783/88,9548/594 is 773822
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 88,594 . The biggest common factor number is the GCF number.
So the greatest common factor 88,594 is 22.
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 1783/88, 9548/594?
Answer: LCM of Numerators as per given numbers 1783/88, 9548/594 is
LCM of Numerators i.e. for 1783,9548 is 17024084
GCF of denominators i.e. for 88,594 is 22.
Thus, LCM of Fractions is 773822.Finally, LCM of Fractions for 1783/88, 9548/594 is 773822.