Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4303/918, 8645/266 quickly i.e. 2861495/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4303/918, 8645/266 is 2861495/2.
LCM(4303/918, 8645/266) = 2861495/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4303/918,8645/266
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 4303,8645
Least Common Multiple of Numerators i.e. LCM of 4303,8645 is 2861495.
GCF of Denominators means GCF of 918,266 as per the given fractions.
GCF of 918,266 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4303,8645
13 | 4303, 8645 |
331, 665 |
∴ So the LCM of the given numbers is 13 x 331 x 665 = 2861495
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 4303,8645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4303,8645) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(4303,8645) x common factors =13 x 1 = 13
LCM(4303,8645) = ( 4303 × 8645 ) / 13
LCM(4303,8645) = 37199435 / 13
LCM(4303,8645) = 2861495
Lets's calculate GCF of 918,266
2 | 918, 266 |
459, 133 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2861495/2
Therefore the LCM of Fractions 4303/918,8645/266 is 2861495/2
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
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 918,266 . The biggest common factor number is the GCF number.
So the greatest common factor 918,266 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 4303/918, 8645/266?
Answer: LCM of Numerators as per given numbers 4303/918, 8645/266 is
LCM of Numerators i.e. for 4303,8645 is 2861495
GCF of denominators i.e. for 918,266 is 2.
Thus, LCM of Fractions is 2861495/2.Finally, LCM of Fractions for 4303/918, 8645/266 is 2861495/2.