Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4426/891, 3715/1705 quickly i.e. 16442590/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4426/891, 3715/1705 is 16442590/11.
LCM(4426/891, 3715/1705) = 16442590/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4426/891,3715/1705
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 4426,3715
Least Common Multiple of Numerators i.e. LCM of 4426,3715 is 16442590.
GCF of Denominators means GCF of 891,1705 as per the given fractions.
GCF of 891,1705 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4426,3715
Given numbers has no common factors except 1. So, there LCM is their product i.e 16442590
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 4426,3715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4426,3715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4426,3715) x common factors =1 x 1 = 1
LCM(4426,3715) = ( 4426 × 3715 ) / 1
LCM(4426,3715) = 16442590 / 1
LCM(4426,3715) = 16442590
Lets's calculate GCF of 891,1705
11 | 891, 1705 |
81, 155 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16442590/11
Therefore the LCM of Fractions 4426/891,3715/1705 is 16442590/11
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 1705
List of positive integer factors of 1705 that divides 1705 without a remainder.
1,5,11,31,55,155,341,1705
Greatest Common Factor
We found the factors 891,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 891,1705 is 11.
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 4426/891, 3715/1705?
Answer: LCM of Numerators as per given numbers 4426/891, 3715/1705 is
LCM of Numerators i.e. for 4426,3715 is 16442590
GCF of denominators i.e. for 891,1705 is 11.
Thus, LCM of Fractions is 16442590/11.Finally, LCM of Fractions for 4426/891, 3715/1705 is 16442590/11.