Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/722, 1088/3716 quickly i.e. 22304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/722, 1088/3716 is 22304.
LCM(41/722, 1088/3716) = 22304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/722,1088/3716
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 41,1088
Least Common Multiple of Numerators i.e. LCM of 41,1088 is 44608.
GCF of Denominators means GCF of 722,3716 as per the given fractions.
GCF of 722,3716 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,1088
Given numbers has no common factors except 1. So, there LCM is their product i.e 44608
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 41,1088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,1088) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,1088) x common factors =1 x 1 = 1
LCM(41,1088) = ( 41 × 1088 ) / 1
LCM(41,1088) = 44608 / 1
LCM(41,1088) = 44608
Lets's calculate GCF of 722,3716
2 | 722, 3716 |
361, 1858 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44608/2
Therefore the LCM of Fractions 41/722,1088/3716 is 22304
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 3716
List of positive integer factors of 3716 that divides 3716 without a remainder.
1,2,4,929,1858,3716
Greatest Common Factor
We found the factors 722,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 722,3716 is 2.
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 41/722, 1088/3716?
Answer: LCM of Numerators as per given numbers 41/722, 1088/3716 is
LCM of Numerators i.e. for 41,1088 is 44608
GCF of denominators i.e. for 722,3716 is 2.
Thus, LCM of Fractions is 22304.Finally, LCM of Fractions for 41/722, 1088/3716 is 22304.