Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/55, 943/23, 776/719 quickly i.e. 13903592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/55, 943/23, 776/719 is 13903592.
LCM(38/55, 943/23, 776/719) = 13903592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/55,943/23,776/719
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 38,943,776
Least Common Multiple of Numerators i.e. LCM of 38,943,776 is 13903592.
GCF of Denominators means GCF of 55,23,719 as per the given fractions.
GCF of 55,23,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,943,776
2 | 38, 943, 776 |
19, 943, 388 |
∴ So the LCM of the given numbers is 2 x 19 x 943 x 388 = 13903592
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 38,943,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,943,776) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,943,776) x common factors =1 x 2 = 2
LCM(38,943,776) = ( 38 × 943 × 776 ) / 2
LCM(38,943,776) = 27807184 / 2
LCM(38,943,776) = 13903592
Lets's calculate GCF of 55,23,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13903592/1
Therefore the LCM of Fractions 38/55,943/23,776/719 is 13903592
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 55,23,719 . The biggest common factor number is the GCF number.
So the greatest common factor 55,23,719 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 38/55, 943/23, 776/719?
Answer: LCM of Numerators as per given numbers 38/55, 943/23, 776/719 is
LCM of Numerators i.e. for 38,943,776 is 13903592
GCF of denominators i.e. for 55,23,719 is 1.
Thus, LCM of Fractions is 13903592.Finally, LCM of Fractions for 38/55, 943/23, 776/719 is 13903592.