Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/46, 238/65, 401/764 quickly i.e. 5726280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/46, 238/65, 401/764 is 5726280.
LCM(840/46, 238/65, 401/764) = 5726280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/46,238/65,401/764
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 840,238,401
Least Common Multiple of Numerators i.e. LCM of 840,238,401 is 5726280.
GCF of Denominators means GCF of 46,65,764 as per the given fractions.
GCF of 46,65,764 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,238,401
2 | 840, 238, 401 |
7 | 420, 119, 401 |
60, 17, 401 |
∴ So the LCM of the given numbers is 2 x 7 x 60 x 17 x 401 = 5726280
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 840,238,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,238,401) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(840,238,401) x common factors =1 x 14 = 14
LCM(840,238,401) = ( 840 × 238 × 401 ) / 14
LCM(840,238,401) = 80167920 / 14
LCM(840,238,401) = 5726280
Lets's calculate GCF of 46,65,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5726280/1
Therefore the LCM of Fractions 840/46,238/65,401/764 is 5726280
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 46,65,764 . The biggest common factor number is the GCF number.
So the greatest common factor 46,65,764 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 840/46, 238/65, 401/764?
Answer: LCM of Numerators as per given numbers 840/46, 238/65, 401/764 is
LCM of Numerators i.e. for 840,238,401 is 5726280
GCF of denominators i.e. for 46,65,764 is 1.
Thus, LCM of Fractions is 5726280.Finally, LCM of Fractions for 840/46, 238/65, 401/764 is 5726280.