Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/20, 59/930, 67/688 quickly i.e. 3953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/20, 59/930, 67/688 is 3953.
LCM(2/20, 59/930, 67/688) = 3953
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/20,59/930,67/688
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 2,59,67
Least Common Multiple of Numerators i.e. LCM of 2,59,67 is 7906.
GCF of Denominators means GCF of 20,930,688 as per the given fractions.
GCF of 20,930,688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,59,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 7906
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 2,59,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,59,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,59,67) x common factors =1 x 1 = 1
LCM(2,59,67) = ( 2 × 59 × 67 ) / 1
LCM(2,59,67) = 7906 / 1
LCM(2,59,67) = 7906
Lets's calculate GCF of 20,930,688
2 | 20, 930, 688 |
10, 465, 344 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7906/2
Therefore the LCM of Fractions 2/20,59/930,67/688 is 3953
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 20,930,688 . The biggest common factor number is the GCF number.
So the greatest common factor 20,930,688 is 2.
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 2/20, 59/930, 67/688?
Answer: LCM of Numerators as per given numbers 2/20, 59/930, 67/688 is
LCM of Numerators i.e. for 2,59,67 is 7906
GCF of denominators i.e. for 20,930,688 is 2.
Thus, LCM of Fractions is 3953.Finally, LCM of Fractions for 2/20, 59/930, 67/688 is 3953.