Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 872/17, 882/30, 553/382 quickly i.e. 30379608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 872/17, 882/30, 553/382 is 30379608.
LCM(872/17, 882/30, 553/382) = 30379608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 872/17,882/30,553/382
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 872,882,553
Least Common Multiple of Numerators i.e. LCM of 872,882,553 is 30379608.
GCF of Denominators means GCF of 17,30,382 as per the given fractions.
GCF of 17,30,382 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 872,882,553
2 | 872, 882, 553 |
7 | 436, 441, 553 |
436, 63, 79 |
∴ So the LCM of the given numbers is 2 x 7 x 436 x 63 x 79 = 30379608
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 872,882,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,882,553) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(872,882,553) x common factors =1 x 14 = 14
LCM(872,882,553) = ( 872 × 882 × 553 ) / 14
LCM(872,882,553) = 425314512 / 14
LCM(872,882,553) = 30379608
Lets's calculate GCF of 17,30,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30379608/1
Therefore the LCM of Fractions 872/17,882/30,553/382 is 30379608
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 17,30,382 . The biggest common factor number is the GCF number.
So the greatest common factor 17,30,382 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 872/17, 882/30, 553/382?
Answer: LCM of Numerators as per given numbers 872/17, 882/30, 553/382 is
LCM of Numerators i.e. for 872,882,553 is 30379608
GCF of denominators i.e. for 17,30,382 is 1.
Thus, LCM of Fractions is 30379608.Finally, LCM of Fractions for 872/17, 882/30, 553/382 is 30379608.