Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 147/40, 859/20, 326/680 quickly i.e. 41164998/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 147/40, 859/20, 326/680 is 41164998/20.
LCM(147/40, 859/20, 326/680) = 41164998/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 147/40,859/20,326/680
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 147,859,326
Least Common Multiple of Numerators i.e. LCM of 147,859,326 is 41164998.
GCF of Denominators means GCF of 40,20,680 as per the given fractions.
GCF of 40,20,680 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 147,859,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 41164998
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 147,859,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,859,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,859,326) x common factors =1 x 1 = 1
LCM(147,859,326) = ( 147 × 859 × 326 ) / 1
LCM(147,859,326) = 41164998 / 1
LCM(147,859,326) = 41164998
Lets's calculate GCF of 40,20,680
2 | 40, 20, 680 |
2 | 20, 10, 340 |
5 | 5, 10, 170 |
1, 2, 34 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41164998/20
Therefore the LCM of Fractions 147/40,859/20,326/680 is 41164998/20
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 40,20,680 . The biggest common factor number is the GCF number.
So the greatest common factor 40,20,680 is 20.
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 147/40, 859/20, 326/680?
Answer: LCM of Numerators as per given numbers 147/40, 859/20, 326/680 is
LCM of Numerators i.e. for 147,859,326 is 41164998
GCF of denominators i.e. for 40,20,680 is 20.
Thus, LCM of Fractions is 41164998/20.Finally, LCM of Fractions for 147/40, 859/20, 326/680 is 41164998/20.