Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/67, 48/44, 29/72, 77/511 quickly i.e. 3965808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/67, 48/44, 29/72, 77/511 is 3965808.
LCM(37/67, 48/44, 29/72, 77/511) = 3965808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/67,48/44,29/72,77/511
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 37,48,29,77
Least Common Multiple of Numerators i.e. LCM of 37,48,29,77 is 3965808.
GCF of Denominators means GCF of 67,44,72,511 as per the given fractions.
GCF of 67,44,72,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,48,29,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 3965808
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 37,48,29,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,48,29,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,48,29,77) x common factors =1 x 1 = 1
LCM(37,48,29,77) = ( 37 × 48 × 29 × 77 ) / 1
LCM(37,48,29,77) = 3965808 / 1
LCM(37,48,29,77) = 3965808
Lets's calculate GCF of 67,44,72,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3965808/1
Therefore the LCM of Fractions 37/67,48/44,29/72,77/511 is 3965808
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 67,44,72,511 . The biggest common factor number is the GCF number.
So the greatest common factor 67,44,72,511 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 37/67, 48/44, 29/72, 77/511?
Answer: LCM of Numerators as per given numbers 37/67, 48/44, 29/72, 77/511 is
LCM of Numerators i.e. for 37,48,29,77 is 3965808
GCF of denominators i.e. for 67,44,72,511 is 1.
Thus, LCM of Fractions is 3965808.Finally, LCM of Fractions for 37/67, 48/44, 29/72, 77/511 is 3965808.