Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/620, 3031/744 quickly i.e. 1448818/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/620, 3031/744 is 1448818/124.
LCM(478/620, 3031/744) = 1448818/124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/620,3031/744
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 478,3031
Least Common Multiple of Numerators i.e. LCM of 478,3031 is 1448818.
GCF of Denominators means GCF of 620,744 as per the given fractions.
GCF of 620,744 is 124 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,3031
Given numbers has no common factors except 1. So, there LCM is their product i.e 1448818
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 478,3031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,3031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,3031) x common factors =1 x 1 = 1
LCM(478,3031) = ( 478 × 3031 ) / 1
LCM(478,3031) = 1448818 / 1
LCM(478,3031) = 1448818
Lets's calculate GCF of 620,744
2 | 620, 744 |
2 | 310, 372 |
31 | 155, 186 |
5, 6 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1448818/124
Therefore the LCM of Fractions 478/620,3031/744 is 1448818/124
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 620,744 . The biggest common factor number is the GCF number.
So the greatest common factor 620,744 is 124.
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 478/620, 3031/744?
Answer: LCM of Numerators as per given numbers 478/620, 3031/744 is
LCM of Numerators i.e. for 478,3031 is 1448818
GCF of denominators i.e. for 620,744 is 124.
Thus, LCM of Fractions is 1448818/124.Finally, LCM of Fractions for 478/620, 3031/744 is 1448818/124.