Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/610, 5907/1821 quickly i.e. 437118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/610, 5907/1821 is 437118.
LCM(74/610, 5907/1821) = 437118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/610,5907/1821
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 74,5907
Least Common Multiple of Numerators i.e. LCM of 74,5907 is 437118.
GCF of Denominators means GCF of 610,1821 as per the given fractions.
GCF of 610,1821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,5907
Given numbers has no common factors except 1. So, there LCM is their product i.e 437118
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 74,5907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,5907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,5907) x common factors =1 x 1 = 1
LCM(74,5907) = ( 74 × 5907 ) / 1
LCM(74,5907) = 437118 / 1
LCM(74,5907) = 437118
Lets's calculate GCF of 610,1821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437118/1
Therefore the LCM of Fractions 74/610,5907/1821 is 437118
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 1821
List of positive integer factors of 1821 that divides 1821 without a remainder.
1,3,607,1821
Greatest Common Factor
We found the factors 610,1821 . The biggest common factor number is the GCF number.
So the greatest common factor 610,1821 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 74/610, 5907/1821?
Answer: LCM of Numerators as per given numbers 74/610, 5907/1821 is
LCM of Numerators i.e. for 74,5907 is 437118
GCF of denominators i.e. for 610,1821 is 1.
Thus, LCM of Fractions is 437118.Finally, LCM of Fractions for 74/610, 5907/1821 is 437118.