Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/74, 76/655, 620/734 quickly i.e. 11780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/74, 76/655, 620/734 is 11780.
LCM(20/74, 76/655, 620/734) = 11780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/74,76/655,620/734
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 20,76,620
Least Common Multiple of Numerators i.e. LCM of 20,76,620 is 11780.
GCF of Denominators means GCF of 74,655,734 as per the given fractions.
GCF of 74,655,734 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,76,620
2 | 20, 76, 620 |
2 | 10, 38, 310 |
5 | 5, 19, 155 |
1, 19, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 19 x 31 = 11780
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 20,76,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,76,620) = 4
common factors(in case of two or more numbers have common factors) = 20
GCF(20,76,620) x common factors =4 x 20 = 80
LCM(20,76,620) = ( 20 × 76 × 620 ) / 80
LCM(20,76,620) = 942400 / 80
LCM(20,76,620) = 11780
Lets's calculate GCF of 74,655,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11780/1
Therefore the LCM of Fractions 20/74,76/655,620/734 is 11780
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 74,655,734 . The biggest common factor number is the GCF number.
So the greatest common factor 74,655,734 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 20/74, 76/655, 620/734?
Answer: LCM of Numerators as per given numbers 20/74, 76/655, 620/734 is
LCM of Numerators i.e. for 20,76,620 is 11780
GCF of denominators i.e. for 74,655,734 is 1.
Thus, LCM of Fractions is 11780.Finally, LCM of Fractions for 20/74, 76/655, 620/734 is 11780.