Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/84, 164/2694 quickly i.e. 24190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/84, 164/2694 is 24190.
LCM(885/84, 164/2694) = 24190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/84,164/2694
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 885,164
Least Common Multiple of Numerators i.e. LCM of 885,164 is 145140.
GCF of Denominators means GCF of 84,2694 as per the given fractions.
GCF of 84,2694 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 145140
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 885,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,164) x common factors =1 x 1 = 1
LCM(885,164) = ( 885 × 164 ) / 1
LCM(885,164) = 145140 / 1
LCM(885,164) = 145140
Lets's calculate GCF of 84,2694
2 | 84, 2694 |
3 | 42, 1347 |
14, 449 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145140/6
Therefore the LCM of Fractions 885/84,164/2694 is 24190
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 2694
List of positive integer factors of 2694 that divides 2694 without a remainder.
1,2,3,6,449,898,1347,2694
Greatest Common Factor
We found the factors 84,2694 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2694 is 6.
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 885/84, 164/2694?
Answer: LCM of Numerators as per given numbers 885/84, 164/2694 is
LCM of Numerators i.e. for 885,164 is 145140
GCF of denominators i.e. for 84,2694 is 6.
Thus, LCM of Fractions is 24190.Finally, LCM of Fractions for 885/84, 164/2694 is 24190.