Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/17, 164/44, 890/836 quickly i.e. 1532580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/17, 164/44, 890/836 is 1532580.
LCM(84/17, 164/44, 890/836) = 1532580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/17,164/44,890/836
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 84,164,890
Least Common Multiple of Numerators i.e. LCM of 84,164,890 is 1532580.
GCF of Denominators means GCF of 17,44,836 as per the given fractions.
GCF of 17,44,836 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,164,890
2 | 84, 164, 890 |
2 | 42, 82, 445 |
21, 41, 445 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 41 x 445 = 1532580
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 84,164,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,164,890) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(84,164,890) x common factors =2 x 4 = 8
LCM(84,164,890) = ( 84 × 164 × 890 ) / 8
LCM(84,164,890) = 12260640 / 8
LCM(84,164,890) = 1532580
Lets's calculate GCF of 17,44,836
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1532580/1
Therefore the LCM of Fractions 84/17,164/44,890/836 is 1532580
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 17,44,836 . The biggest common factor number is the GCF number.
So the greatest common factor 17,44,836 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 84/17, 164/44, 890/836?
Answer: LCM of Numerators as per given numbers 84/17, 164/44, 890/836 is
LCM of Numerators i.e. for 84,164,890 is 1532580
GCF of denominators i.e. for 17,44,836 is 1.
Thus, LCM of Fractions is 1532580.Finally, LCM of Fractions for 84/17, 164/44, 890/836 is 1532580.