Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/25, 816/63, 259/485 quickly i.e. 1056720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/25, 816/63, 259/485 is 1056720.
LCM(840/25, 816/63, 259/485) = 1056720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/25,816/63,259/485
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 840,816,259
Least Common Multiple of Numerators i.e. LCM of 840,816,259 is 1056720.
GCF of Denominators means GCF of 25,63,485 as per the given fractions.
GCF of 25,63,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,816,259
2 | 840, 816, 259 |
2 | 420, 408, 259 |
2 | 210, 204, 259 |
3 | 105, 102, 259 |
7 | 35, 34, 259 |
5, 34, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 5 x 34 x 37 = 1056720
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 840,816,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,816,259) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(840,816,259) x common factors =1 x 168 = 168
LCM(840,816,259) = ( 840 × 816 × 259 ) / 168
LCM(840,816,259) = 177528960 / 168
LCM(840,816,259) = 1056720
Lets's calculate GCF of 25,63,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1056720/1
Therefore the LCM of Fractions 840/25,816/63,259/485 is 1056720
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 25,63,485 . The biggest common factor number is the GCF number.
So the greatest common factor 25,63,485 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 840/25, 816/63, 259/485?
Answer: LCM of Numerators as per given numbers 840/25, 816/63, 259/485 is
LCM of Numerators i.e. for 840,816,259 is 1056720
GCF of denominators i.e. for 25,63,485 is 1.
Thus, LCM of Fractions is 1056720.Finally, LCM of Fractions for 840/25, 816/63, 259/485 is 1056720.