Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/77, 34/689, 115/414 quickly i.e. 50830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/77, 34/689, 115/414 is 50830.
LCM(26/77, 34/689, 115/414) = 50830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/77,34/689,115/414
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 26,34,115
Least Common Multiple of Numerators i.e. LCM of 26,34,115 is 50830.
GCF of Denominators means GCF of 77,689,414 as per the given fractions.
GCF of 77,689,414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,34,115
2 | 26, 34, 115 |
13, 17, 115 |
∴ So the LCM of the given numbers is 2 x 13 x 17 x 115 = 50830
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 26,34,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,34,115) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,34,115) x common factors =1 x 2 = 2
LCM(26,34,115) = ( 26 × 34 × 115 ) / 2
LCM(26,34,115) = 101660 / 2
LCM(26,34,115) = 50830
Lets's calculate GCF of 77,689,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50830/1
Therefore the LCM of Fractions 26/77,34/689,115/414 is 50830
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 77,689,414 . The biggest common factor number is the GCF number.
So the greatest common factor 77,689,414 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 26/77, 34/689, 115/414?
Answer: LCM of Numerators as per given numbers 26/77, 34/689, 115/414 is
LCM of Numerators i.e. for 26,34,115 is 50830
GCF of denominators i.e. for 77,689,414 is 1.
Thus, LCM of Fractions is 50830.Finally, LCM of Fractions for 26/77, 34/689, 115/414 is 50830.