Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 256/21, 617/9485 quickly i.e. 157952/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 256/21, 617/9485 is 157952/7.
LCM(256/21, 617/9485) = 157952/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 256/21,617/9485
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 256,617
Least Common Multiple of Numerators i.e. LCM of 256,617 is 157952.
GCF of Denominators means GCF of 21,9485 as per the given fractions.
GCF of 21,9485 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 256,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 157952
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 256,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,617) x common factors =1 x 1 = 1
LCM(256,617) = ( 256 × 617 ) / 1
LCM(256,617) = 157952 / 1
LCM(256,617) = 157952
Lets's calculate GCF of 21,9485
7 | 21, 9485 |
3, 1355 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157952/7
Therefore the LCM of Fractions 256/21,617/9485 is 157952/7
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 9485
List of positive integer factors of 9485 that divides 9485 without a remainder.
1,5,7,35,271,1355,1897,9485
Greatest Common Factor
We found the factors 21,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 21,9485 is 7.
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 256/21, 617/9485?
Answer: LCM of Numerators as per given numbers 256/21, 617/9485 is
LCM of Numerators i.e. for 256,617 is 157952
GCF of denominators i.e. for 21,9485 is 7.
Thus, LCM of Fractions is 157952/7.Finally, LCM of Fractions for 256/21, 617/9485 is 157952/7.