Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/355, 172/237, 882/990 quickly i.e. 986076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/355, 172/237, 882/990 is 986076.
LCM(39/355, 172/237, 882/990) = 986076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/355,172/237,882/990
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 39,172,882
Least Common Multiple of Numerators i.e. LCM of 39,172,882 is 986076.
GCF of Denominators means GCF of 355,237,990 as per the given fractions.
GCF of 355,237,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,172,882
2 | 39, 172, 882 |
3 | 39, 86, 441 |
13, 86, 147 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 86 x 147 = 986076
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 39,172,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,172,882) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,172,882) x common factors =1 x 6 = 6
LCM(39,172,882) = ( 39 × 172 × 882 ) / 6
LCM(39,172,882) = 5916456 / 6
LCM(39,172,882) = 986076
Lets's calculate GCF of 355,237,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986076/1
Therefore the LCM of Fractions 39/355,172/237,882/990 is 986076
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 355,237,990 . The biggest common factor number is the GCF number.
So the greatest common factor 355,237,990 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 39/355, 172/237, 882/990?
Answer: LCM of Numerators as per given numbers 39/355, 172/237, 882/990 is
LCM of Numerators i.e. for 39,172,882 is 986076
GCF of denominators i.e. for 355,237,990 is 1.
Thus, LCM of Fractions is 986076.Finally, LCM of Fractions for 39/355, 172/237, 882/990 is 986076.