Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/753, 8719/606 quickly i.e. 2493634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/753, 8719/606 is 2493634.
LCM(858/753, 8719/606) = 2493634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/753,8719/606
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 858,8719
Least Common Multiple of Numerators i.e. LCM of 858,8719 is 7480902.
GCF of Denominators means GCF of 753,606 as per the given fractions.
GCF of 753,606 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,8719
Given numbers has no common factors except 1. So, there LCM is their product i.e 7480902
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 858,8719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,8719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,8719) x common factors =1 x 1 = 1
LCM(858,8719) = ( 858 × 8719 ) / 1
LCM(858,8719) = 7480902 / 1
LCM(858,8719) = 7480902
Lets's calculate GCF of 753,606
3 | 753, 606 |
251, 202 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7480902/3
Therefore the LCM of Fractions 858/753,8719/606 is 2493634
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 753,606 . The biggest common factor number is the GCF number.
So the greatest common factor 753,606 is 3.
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 858/753, 8719/606?
Answer: LCM of Numerators as per given numbers 858/753, 8719/606 is
LCM of Numerators i.e. for 858,8719 is 7480902
GCF of denominators i.e. for 753,606 is 3.
Thus, LCM of Fractions is 2493634.Finally, LCM of Fractions for 858/753, 8719/606 is 2493634.