Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/711, 97/904, 740/939 quickly i.e. 71780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/711, 97/904, 740/939 is 71780.
LCM(20/711, 97/904, 740/939) = 71780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/711,97/904,740/939
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 20,97,740
Least Common Multiple of Numerators i.e. LCM of 20,97,740 is 71780.
GCF of Denominators means GCF of 711,904,939 as per the given fractions.
GCF of 711,904,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,97,740
2 | 20, 97, 740 |
2 | 10, 97, 370 |
5 | 5, 97, 185 |
1, 97, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 97 x 37 = 71780
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 20,97,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,97,740) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,97,740) x common factors =1 x 20 = 20
LCM(20,97,740) = ( 20 × 97 × 740 ) / 20
LCM(20,97,740) = 1435600 / 20
LCM(20,97,740) = 71780
Lets's calculate GCF of 711,904,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71780/1
Therefore the LCM of Fractions 20/711,97/904,740/939 is 71780
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 711,904,939 . The biggest common factor number is the GCF number.
So the greatest common factor 711,904,939 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 20/711, 97/904, 740/939?
Answer: LCM of Numerators as per given numbers 20/711, 97/904, 740/939 is
LCM of Numerators i.e. for 20,97,740 is 71780
GCF of denominators i.e. for 711,904,939 is 1.
Thus, LCM of Fractions is 71780.Finally, LCM of Fractions for 20/711, 97/904, 740/939 is 71780.