Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1065/910, 8138/6610 quickly i.e. 866697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1065/910, 8138/6610 is 866697.
LCM(1065/910, 8138/6610) = 866697
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1065/910,8138/6610
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 1065,8138
Least Common Multiple of Numerators i.e. LCM of 1065,8138 is 8666970.
GCF of Denominators means GCF of 910,6610 as per the given fractions.
GCF of 910,6610 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1065,8138
Given numbers has no common factors except 1. So, there LCM is their product i.e 8666970
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 1065,8138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1065,8138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1065,8138) x common factors =1 x 1 = 1
LCM(1065,8138) = ( 1065 × 8138 ) / 1
LCM(1065,8138) = 8666970 / 1
LCM(1065,8138) = 8666970
Lets's calculate GCF of 910,6610
2 | 910, 6610 |
5 | 455, 3305 |
91, 661 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8666970/10
Therefore the LCM of Fractions 1065/910,8138/6610 is 866697
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 6610
List of positive integer factors of 6610 that divides 6610 without a remainder.
1,2,5,10,661,1322,3305,6610
Greatest Common Factor
We found the factors 910,6610 . The biggest common factor number is the GCF number.
So the greatest common factor 910,6610 is 10.
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 1065/910, 8138/6610?
Answer: LCM of Numerators as per given numbers 1065/910, 8138/6610 is
LCM of Numerators i.e. for 1065,8138 is 8666970
GCF of denominators i.e. for 910,6610 is 10.
Thus, LCM of Fractions is 866697.Finally, LCM of Fractions for 1065/910, 8138/6610 is 866697.