Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 264/862, 8733/822 quickly i.e. 384252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 264/862, 8733/822 is 384252.
LCM(264/862, 8733/822) = 384252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 264/862,8733/822
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 264,8733
Least Common Multiple of Numerators i.e. LCM of 264,8733 is 768504.
GCF of Denominators means GCF of 862,822 as per the given fractions.
GCF of 862,822 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 264,8733
3 | 264, 8733 |
88, 2911 |
∴ So the LCM of the given numbers is 3 x 88 x 2911 = 768504
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 264,8733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,8733) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,8733) x common factors =3 x 1 = 3
LCM(264,8733) = ( 264 × 8733 ) / 3
LCM(264,8733) = 2305512 / 3
LCM(264,8733) = 768504
Lets's calculate GCF of 862,822
2 | 862, 822 |
431, 411 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768504/2
Therefore the LCM of Fractions 264/862,8733/822 is 384252
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 862,822 . The biggest common factor number is the GCF number.
So the greatest common factor 862,822 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 264/862, 8733/822?
Answer: LCM of Numerators as per given numbers 264/862, 8733/822 is
LCM of Numerators i.e. for 264,8733 is 768504
GCF of denominators i.e. for 862,822 is 2.
Thus, LCM of Fractions is 384252.Finally, LCM of Fractions for 264/862, 8733/822 is 384252.