Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 743/918, 1303/6110 quickly i.e. 968129/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 743/918, 1303/6110 is 968129/2.
LCM(743/918, 1303/6110) = 968129/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 743/918,1303/6110
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 743,1303
Least Common Multiple of Numerators i.e. LCM of 743,1303 is 968129.
GCF of Denominators means GCF of 918,6110 as per the given fractions.
GCF of 918,6110 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 743,1303
Given numbers has no common factors except 1. So, there LCM is their product i.e 968129
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 743,1303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,1303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,1303) x common factors =1 x 1 = 1
LCM(743,1303) = ( 743 × 1303 ) / 1
LCM(743,1303) = 968129 / 1
LCM(743,1303) = 968129
Lets's calculate GCF of 918,6110
2 | 918, 6110 |
459, 3055 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968129/2
Therefore the LCM of Fractions 743/918,1303/6110 is 968129/2
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 6110
List of positive integer factors of 6110 that divides 6110 without a remainder.
1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Greatest Common Factor
We found the factors 918,6110 . The biggest common factor number is the GCF number.
So the greatest common factor 918,6110 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 743/918, 1303/6110?
Answer: LCM of Numerators as per given numbers 743/918, 1303/6110 is
LCM of Numerators i.e. for 743,1303 is 968129
GCF of denominators i.e. for 918,6110 is 2.
Thus, LCM of Fractions is 968129/2.Finally, LCM of Fractions for 743/918, 1303/6110 is 968129/2.