Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 610/44, 941/3604 quickly i.e. 574010/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 610/44, 941/3604 is 574010/4.
LCM(610/44, 941/3604) = 574010/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 610/44,941/3604
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 610,941
Least Common Multiple of Numerators i.e. LCM of 610,941 is 574010.
GCF of Denominators means GCF of 44,3604 as per the given fractions.
GCF of 44,3604 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 610,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 574010
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 610,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,941) x common factors =1 x 1 = 1
LCM(610,941) = ( 610 × 941 ) / 1
LCM(610,941) = 574010 / 1
LCM(610,941) = 574010
Lets's calculate GCF of 44,3604
2 | 44, 3604 |
2 | 22, 1802 |
11, 901 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574010/4
Therefore the LCM of Fractions 610/44,941/3604 is 574010/4
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 3604
List of positive integer factors of 3604 that divides 3604 without a remainder.
1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 44,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 44,3604 is 4.
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 610/44, 941/3604?
Answer: LCM of Numerators as per given numbers 610/44, 941/3604 is
LCM of Numerators i.e. for 610,941 is 574010
GCF of denominators i.e. for 44,3604 is 4.
Thus, LCM of Fractions is 574010/4.Finally, LCM of Fractions for 610/44, 941/3604 is 574010/4.