Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1832/905, 7435/595 quickly i.e. 2724184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1832/905, 7435/595 is 2724184.
LCM(1832/905, 7435/595) = 2724184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1832/905,7435/595
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 1832,7435
Least Common Multiple of Numerators i.e. LCM of 1832,7435 is 13620920.
GCF of Denominators means GCF of 905,595 as per the given fractions.
GCF of 905,595 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1832,7435
Given numbers has no common factors except 1. So, there LCM is their product i.e 13620920
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 1832,7435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1832,7435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1832,7435) x common factors =1 x 1 = 1
LCM(1832,7435) = ( 1832 × 7435 ) / 1
LCM(1832,7435) = 13620920 / 1
LCM(1832,7435) = 13620920
Lets's calculate GCF of 905,595
5 | 905, 595 |
181, 119 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13620920/5
Therefore the LCM of Fractions 1832/905,7435/595 is 2724184
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 905,595 . The biggest common factor number is the GCF number.
So the greatest common factor 905,595 is 5.
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 1832/905, 7435/595?
Answer: LCM of Numerators as per given numbers 1832/905, 7435/595 is
LCM of Numerators i.e. for 1832,7435 is 13620920
GCF of denominators i.e. for 905,595 is 5.
Thus, LCM of Fractions is 2724184.Finally, LCM of Fractions for 1832/905, 7435/595 is 2724184.