Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/78, 63/51, 31/77, 53/515 quickly i.e. 4554396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/78, 63/51, 31/77, 53/515 is 4554396.
LCM(44/78, 63/51, 31/77, 53/515) = 4554396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/78,63/51,31/77,53/515
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 44,63,31,53
Least Common Multiple of Numerators i.e. LCM of 44,63,31,53 is 4554396.
GCF of Denominators means GCF of 78,51,77,515 as per the given fractions.
GCF of 78,51,77,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,63,31,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 4554396
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 44,63,31,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,63,31,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,63,31,53) x common factors =1 x 1 = 1
LCM(44,63,31,53) = ( 44 × 63 × 31 × 53 ) / 1
LCM(44,63,31,53) = 4554396 / 1
LCM(44,63,31,53) = 4554396
Lets's calculate GCF of 78,51,77,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4554396/1
Therefore the LCM of Fractions 44/78,63/51,31/77,53/515 is 4554396
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 78,51,77,515 . The biggest common factor number is the GCF number.
So the greatest common factor 78,51,77,515 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 44/78, 63/51, 31/77, 53/515?
Answer: LCM of Numerators as per given numbers 44/78, 63/51, 31/77, 53/515 is
LCM of Numerators i.e. for 44,63,31,53 is 4554396
GCF of denominators i.e. for 78,51,77,515 is 1.
Thus, LCM of Fractions is 4554396.Finally, LCM of Fractions for 44/78, 63/51, 31/77, 53/515 is 4554396.