Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/88, 69/35, 74/52, 26/678 quickly i.e. 663780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/88, 69/35, 74/52, 26/678 is 663780.
LCM(20/88, 69/35, 74/52, 26/678) = 663780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/88,69/35,74/52,26/678
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 20,69,74,26
Least Common Multiple of Numerators i.e. LCM of 20,69,74,26 is 663780.
GCF of Denominators means GCF of 88,35,52,678 as per the given fractions.
GCF of 88,35,52,678 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,69,74,26
2 | 20, 69, 74, 26 |
10, 69, 37, 13 |
∴ So the LCM of the given numbers is 2 x 10 x 69 x 37 x 13 = 663780
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 20,69,74,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,69,74,26) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,69,74,26) x common factors =1 x 4 = 4
LCM(20,69,74,26) = ( 20 × 69 × 74 × 26 ) / 4
LCM(20,69,74,26) = 2655120 / 4
LCM(20,69,74,26) = 663780
Lets's calculate GCF of 88,35,52,678
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 663780/1
Therefore the LCM of Fractions 20/88,69/35,74/52,26/678 is 663780
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 88,35,52,678 . The biggest common factor number is the GCF number.
So the greatest common factor 88,35,52,678 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 20/88, 69/35, 74/52, 26/678?
Answer: LCM of Numerators as per given numbers 20/88, 69/35, 74/52, 26/678 is
LCM of Numerators i.e. for 20,69,74,26 is 663780
GCF of denominators i.e. for 88,35,52,678 is 1.
Thus, LCM of Fractions is 663780.Finally, LCM of Fractions for 20/88, 69/35, 74/52, 26/678 is 663780.