Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 884/833, 3802/918 quickly i.e. 98852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 884/833, 3802/918 is 98852.
LCM(884/833, 3802/918) = 98852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 884/833,3802/918
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 884,3802
Least Common Multiple of Numerators i.e. LCM of 884,3802 is 1680484.
GCF of Denominators means GCF of 833,918 as per the given fractions.
GCF of 833,918 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 884,3802
2 | 884, 3802 |
442, 1901 |
∴ So the LCM of the given numbers is 2 x 442 x 1901 = 1680484
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 884,3802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,3802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,3802) x common factors =2 x 1 = 2
LCM(884,3802) = ( 884 × 3802 ) / 2
LCM(884,3802) = 3360968 / 2
LCM(884,3802) = 1680484
Lets's calculate GCF of 833,918
17 | 833, 918 |
49, 54 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1680484/17
Therefore the LCM of Fractions 884/833,3802/918 is 98852
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 833,918 . The biggest common factor number is the GCF number.
So the greatest common factor 833,918 is 17.
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 884/833, 3802/918?
Answer: LCM of Numerators as per given numbers 884/833, 3802/918 is
LCM of Numerators i.e. for 884,3802 is 1680484
GCF of denominators i.e. for 833,918 is 17.
Thus, LCM of Fractions is 98852.Finally, LCM of Fractions for 884/833, 3802/918 is 98852.