Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/30, 61/51, 48/40, 44/710 quickly i.e. 805200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/30, 61/51, 48/40, 44/710 is 805200.
LCM(50/30, 61/51, 48/40, 44/710) = 805200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/30,61/51,48/40,44/710
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 50,61,48,44
Least Common Multiple of Numerators i.e. LCM of 50,61,48,44 is 805200.
GCF of Denominators means GCF of 30,51,40,710 as per the given fractions.
GCF of 30,51,40,710 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,61,48,44
2 | 50, 61, 48, 44 |
2 | 25, 61, 24, 22 |
25, 61, 12, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 61 x 12 x 11 = 805200
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 50,61,48,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,61,48,44) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(50,61,48,44) x common factors =1 x 8 = 8
LCM(50,61,48,44) = ( 50 × 61 × 48 × 44 ) / 8
LCM(50,61,48,44) = 6441600 / 8
LCM(50,61,48,44) = 805200
Lets's calculate GCF of 30,51,40,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805200/1
Therefore the LCM of Fractions 50/30,61/51,48/40,44/710 is 805200
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 30,51,40,710 . The biggest common factor number is the GCF number.
So the greatest common factor 30,51,40,710 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 50/30, 61/51, 48/40, 44/710?
Answer: LCM of Numerators as per given numbers 50/30, 61/51, 48/40, 44/710 is
LCM of Numerators i.e. for 50,61,48,44 is 805200
GCF of denominators i.e. for 30,51,40,710 is 1.
Thus, LCM of Fractions is 805200.Finally, LCM of Fractions for 50/30, 61/51, 48/40, 44/710 is 805200.