Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 774/845, 1825/8422 quickly i.e. 1412550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 774/845, 1825/8422 is 1412550.
LCM(774/845, 1825/8422) = 1412550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 774/845,1825/8422
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 774,1825
Least Common Multiple of Numerators i.e. LCM of 774,1825 is 1412550.
GCF of Denominators means GCF of 845,8422 as per the given fractions.
GCF of 845,8422 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 774,1825
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412550
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 774,1825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,1825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,1825) x common factors =1 x 1 = 1
LCM(774,1825) = ( 774 × 1825 ) / 1
LCM(774,1825) = 1412550 / 1
LCM(774,1825) = 1412550
Lets's calculate GCF of 845,8422
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412550/1
Therefore the LCM of Fractions 774/845,1825/8422 is 1412550
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 8422
List of positive integer factors of 8422 that divides 8422 without a remainder.
1,2,4211,8422
Greatest Common Factor
We found the factors 845,8422 . The biggest common factor number is the GCF number.
So the greatest common factor 845,8422 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 774/845, 1825/8422?
Answer: LCM of Numerators as per given numbers 774/845, 1825/8422 is
LCM of Numerators i.e. for 774,1825 is 1412550
GCF of denominators i.e. for 845,8422 is 1.
Thus, LCM of Fractions is 1412550.Finally, LCM of Fractions for 774/845, 1825/8422 is 1412550.