Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/77, 77/56, 386/129 quickly i.e. 564718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/77, 77/56, 386/129 is 564718.
LCM(19/77, 77/56, 386/129) = 564718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/77,77/56,386/129
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 19,77,386
Least Common Multiple of Numerators i.e. LCM of 19,77,386 is 564718.
GCF of Denominators means GCF of 77,56,129 as per the given fractions.
GCF of 77,56,129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,77,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 564718
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 19,77,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,77,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,77,386) x common factors =1 x 1 = 1
LCM(19,77,386) = ( 19 × 77 × 386 ) / 1
LCM(19,77,386) = 564718 / 1
LCM(19,77,386) = 564718
Lets's calculate GCF of 77,56,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564718/1
Therefore the LCM of Fractions 19/77,77/56,386/129 is 564718
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 77,56,129 . The biggest common factor number is the GCF number.
So the greatest common factor 77,56,129 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 19/77, 77/56, 386/129?
Answer: LCM of Numerators as per given numbers 19/77, 77/56, 386/129 is
LCM of Numerators i.e. for 19,77,386 is 564718
GCF of denominators i.e. for 77,56,129 is 1.
Thus, LCM of Fractions is 564718.Finally, LCM of Fractions for 19/77, 77/56, 386/129 is 564718.