Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 891/45, 820/1895 quickly i.e. 146124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 891/45, 820/1895 is 146124.
LCM(891/45, 820/1895) = 146124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 891/45,820/1895
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 891,820
Least Common Multiple of Numerators i.e. LCM of 891,820 is 730620.
GCF of Denominators means GCF of 45,1895 as per the given fractions.
GCF of 45,1895 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 891,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 730620
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 891,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,820) x common factors =1 x 1 = 1
LCM(891,820) = ( 891 × 820 ) / 1
LCM(891,820) = 730620 / 1
LCM(891,820) = 730620
Lets's calculate GCF of 45,1895
5 | 45, 1895 |
9, 379 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730620/5
Therefore the LCM of Fractions 891/45,820/1895 is 146124
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 1895
List of positive integer factors of 1895 that divides 1895 without a remainder.
1,5,379,1895
Greatest Common Factor
We found the factors 45,1895 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1895 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 891/45, 820/1895?
Answer: LCM of Numerators as per given numbers 891/45, 820/1895 is
LCM of Numerators i.e. for 891,820 is 730620
GCF of denominators i.e. for 45,1895 is 5.
Thus, LCM of Fractions is 146124.Finally, LCM of Fractions for 891/45, 820/1895 is 146124.