Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1486/709, 6058/9651 quickly i.e. 4501094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1486/709, 6058/9651 is 4501094.
LCM(1486/709, 6058/9651) = 4501094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1486/709,6058/9651
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 1486,6058
Least Common Multiple of Numerators i.e. LCM of 1486,6058 is 4501094.
GCF of Denominators means GCF of 709,9651 as per the given fractions.
GCF of 709,9651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1486,6058
2 | 1486, 6058 |
743, 3029 |
∴ So the LCM of the given numbers is 2 x 743 x 3029 = 4501094
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 1486,6058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1486,6058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1486,6058) x common factors =2 x 1 = 2
LCM(1486,6058) = ( 1486 × 6058 ) / 2
LCM(1486,6058) = 9002188 / 2
LCM(1486,6058) = 4501094
Lets's calculate GCF of 709,9651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4501094/1
Therefore the LCM of Fractions 1486/709,6058/9651 is 4501094
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 9651
List of positive integer factors of 9651 that divides 9651 without a remainder.
1,3,3217,9651
Greatest Common Factor
We found the factors 709,9651 . The biggest common factor number is the GCF number.
So the greatest common factor 709,9651 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 1486/709, 6058/9651?
Answer: LCM of Numerators as per given numbers 1486/709, 6058/9651 is
LCM of Numerators i.e. for 1486,6058 is 4501094
GCF of denominators i.e. for 709,9651 is 1.
Thus, LCM of Fractions is 4501094.Finally, LCM of Fractions for 1486/709, 6058/9651 is 4501094.