Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/171, 40/990, 83/654 quickly i.e. 3320/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/171, 40/990, 83/654 is 3320/3.
LCM(5/171, 40/990, 83/654) = 3320/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/171,40/990,83/654
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 5,40,83
Least Common Multiple of Numerators i.e. LCM of 5,40,83 is 3320.
GCF of Denominators means GCF of 171,990,654 as per the given fractions.
GCF of 171,990,654 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,40,83
5 | 5, 40, 83 |
1, 8, 83 |
∴ So the LCM of the given numbers is 5 x 1 x 8 x 83 = 3320
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 5,40,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,40,83) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,40,83) x common factors =1 x 5 = 5
LCM(5,40,83) = ( 5 × 40 × 83 ) / 5
LCM(5,40,83) = 16600 / 5
LCM(5,40,83) = 3320
Lets's calculate GCF of 171,990,654
3 | 171, 990, 654 |
57, 330, 218 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3320/3
Therefore the LCM of Fractions 5/171,40/990,83/654 is 3320/3
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
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
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 171,990,654 . The biggest common factor number is the GCF number.
So the greatest common factor 171,990,654 is 3.
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 5/171, 40/990, 83/654?
Answer: LCM of Numerators as per given numbers 5/171, 40/990, 83/654 is
LCM of Numerators i.e. for 5,40,83 is 3320
GCF of denominators i.e. for 171,990,654 is 3.
Thus, LCM of Fractions is 3320/3.Finally, LCM of Fractions for 5/171, 40/990, 83/654 is 3320/3.