Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/134, 7788/4913 quickly i.e. 54516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/134, 7788/4913 is 54516.
LCM(77/134, 7788/4913) = 54516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/134,7788/4913
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 77,7788
Least Common Multiple of Numerators i.e. LCM of 77,7788 is 54516.
GCF of Denominators means GCF of 134,4913 as per the given fractions.
GCF of 134,4913 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,7788
11 | 77, 7788 |
7, 708 |
∴ So the LCM of the given numbers is 11 x 7 x 708 = 54516
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 77,7788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,7788) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(77,7788) x common factors =11 x 1 = 11
LCM(77,7788) = ( 77 × 7788 ) / 11
LCM(77,7788) = 599676 / 11
LCM(77,7788) = 54516
Lets's calculate GCF of 134,4913
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54516/1
Therefore the LCM of Fractions 77/134,7788/4913 is 54516
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 4913
List of positive integer factors of 4913 that divides 4913 without a remainder.
1,17,289,4913
Greatest Common Factor
We found the factors 134,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 134,4913 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 77/134, 7788/4913?
Answer: LCM of Numerators as per given numbers 77/134, 7788/4913 is
LCM of Numerators i.e. for 77,7788 is 54516
GCF of denominators i.e. for 134,4913 is 1.
Thus, LCM of Fractions is 54516.Finally, LCM of Fractions for 77/134, 7788/4913 is 54516.