Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/836, 165/818 quickly i.e. 66165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/836, 165/818 is 66165.
LCM(802/836, 165/818) = 66165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/836,165/818
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 802,165
Least Common Multiple of Numerators i.e. LCM of 802,165 is 132330.
GCF of Denominators means GCF of 836,818 as per the given fractions.
GCF of 836,818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 132330
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 802,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,165) x common factors =1 x 1 = 1
LCM(802,165) = ( 802 × 165 ) / 1
LCM(802,165) = 132330 / 1
LCM(802,165) = 132330
Lets's calculate GCF of 836,818
2 | 836, 818 |
418, 409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132330/2
Therefore the LCM of Fractions 802/836,165/818 is 66165
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
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 836,818 . The biggest common factor number is the GCF number.
So the greatest common factor 836,818 is 2.
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 802/836, 165/818?
Answer: LCM of Numerators as per given numbers 802/836, 165/818 is
LCM of Numerators i.e. for 802,165 is 132330
GCF of denominators i.e. for 836,818 is 2.
Thus, LCM of Fractions is 66165.Finally, LCM of Fractions for 802/836, 165/818 is 66165.