Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1032/913, 6990/4010 quickly i.e. 1202280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1032/913, 6990/4010 is 1202280.
LCM(1032/913, 6990/4010) = 1202280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1032/913,6990/4010
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 1032,6990
Least Common Multiple of Numerators i.e. LCM of 1032,6990 is 1202280.
GCF of Denominators means GCF of 913,4010 as per the given fractions.
GCF of 913,4010 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1032,6990
2 | 1032, 6990 |
3 | 516, 3495 |
172, 1165 |
∴ So the LCM of the given numbers is 2 x 3 x 172 x 1165 = 1202280
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 1032,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1032,6990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(1032,6990) x common factors =6 x 1 = 6
LCM(1032,6990) = ( 1032 × 6990 ) / 6
LCM(1032,6990) = 7213680 / 6
LCM(1032,6990) = 1202280
Lets's calculate GCF of 913,4010
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202280/1
Therefore the LCM of Fractions 1032/913,6990/4010 is 1202280
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 913,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 913,4010 is 1.
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 1032/913, 6990/4010?
Answer: LCM of Numerators as per given numbers 1032/913, 6990/4010 is
LCM of Numerators i.e. for 1032,6990 is 1202280
GCF of denominators i.e. for 913,4010 is 1.
Thus, LCM of Fractions is 1202280.Finally, LCM of Fractions for 1032/913, 6990/4010 is 1202280.