Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3728/44, 7956/420 quickly i.e. 1853748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3728/44, 7956/420 is 1853748.
LCM(3728/44, 7956/420) = 1853748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3728/44,7956/420
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 3728,7956
Least Common Multiple of Numerators i.e. LCM of 3728,7956 is 7414992.
GCF of Denominators means GCF of 44,420 as per the given fractions.
GCF of 44,420 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3728,7956
2 | 3728, 7956 |
2 | 1864, 3978 |
932, 1989 |
∴ So the LCM of the given numbers is 2 x 2 x 932 x 1989 = 7414992
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 3728,7956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3728,7956) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3728,7956) x common factors =4 x 1 = 4
LCM(3728,7956) = ( 3728 × 7956 ) / 4
LCM(3728,7956) = 29659968 / 4
LCM(3728,7956) = 7414992
Lets's calculate GCF of 44,420
2 | 44, 420 |
2 | 22, 210 |
11, 105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7414992/4
Therefore the LCM of Fractions 3728/44,7956/420 is 1853748
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 44,420 . The biggest common factor number is the GCF number.
So the greatest common factor 44,420 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 3728/44, 7956/420?
Answer: LCM of Numerators as per given numbers 3728/44, 7956/420 is
LCM of Numerators i.e. for 3728,7956 is 7414992
GCF of denominators i.e. for 44,420 is 4.
Thus, LCM of Fractions is 1853748.Finally, LCM of Fractions for 3728/44, 7956/420 is 1853748.