Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/77, 46/91, 107/868 quickly i.e. 290398/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/77, 46/91, 107/868 is 290398/7.
LCM(59/77, 46/91, 107/868) = 290398/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/77,46/91,107/868
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 59,46,107
Least Common Multiple of Numerators i.e. LCM of 59,46,107 is 290398.
GCF of Denominators means GCF of 77,91,868 as per the given fractions.
GCF of 77,91,868 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,46,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 290398
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 59,46,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,46,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,46,107) x common factors =1 x 1 = 1
LCM(59,46,107) = ( 59 × 46 × 107 ) / 1
LCM(59,46,107) = 290398 / 1
LCM(59,46,107) = 290398
Lets's calculate GCF of 77,91,868
7 | 77, 91, 868 |
11, 13, 124 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290398/7
Therefore the LCM of Fractions 59/77,46/91,107/868 is 290398/7
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 77,91,868 . The biggest common factor number is the GCF number.
So the greatest common factor 77,91,868 is 7.
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 59/77, 46/91, 107/868?
Answer: LCM of Numerators as per given numbers 59/77, 46/91, 107/868 is
LCM of Numerators i.e. for 59,46,107 is 290398
GCF of denominators i.e. for 77,91,868 is 7.
Thus, LCM of Fractions is 290398/7.Finally, LCM of Fractions for 59/77, 46/91, 107/868 is 290398/7.