Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7789/526, 1837/705 quickly i.e. 14308393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7789/526, 1837/705 is 14308393.
LCM(7789/526, 1837/705) = 14308393
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7789/526,1837/705
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 7789,1837
Least Common Multiple of Numerators i.e. LCM of 7789,1837 is 14308393.
GCF of Denominators means GCF of 526,705 as per the given fractions.
GCF of 526,705 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7789,1837
Given numbers has no common factors except 1. So, there LCM is their product i.e 14308393
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 7789,1837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7789,1837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7789,1837) x common factors =1 x 1 = 1
LCM(7789,1837) = ( 7789 × 1837 ) / 1
LCM(7789,1837) = 14308393 / 1
LCM(7789,1837) = 14308393
Lets's calculate GCF of 526,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14308393/1
Therefore the LCM of Fractions 7789/526,1837/705 is 14308393
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 526,705 . The biggest common factor number is the GCF number.
So the greatest common factor 526,705 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 7789/526, 1837/705?
Answer: LCM of Numerators as per given numbers 7789/526, 1837/705 is
LCM of Numerators i.e. for 7789,1837 is 14308393
GCF of denominators i.e. for 526,705 is 1.
Thus, LCM of Fractions is 14308393.Finally, LCM of Fractions for 7789/526, 1837/705 is 14308393.