Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/25, 486/9206 quickly i.e. 105462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/25, 486/9206 is 105462.
LCM(651/25, 486/9206) = 105462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/25,486/9206
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 651,486
Least Common Multiple of Numerators i.e. LCM of 651,486 is 105462.
GCF of Denominators means GCF of 25,9206 as per the given fractions.
GCF of 25,9206 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,486
3 | 651, 486 |
217, 162 |
∴ So the LCM of the given numbers is 3 x 217 x 162 = 105462
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 651,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,486) x common factors =3 x 1 = 3
LCM(651,486) = ( 651 × 486 ) / 3
LCM(651,486) = 316386 / 3
LCM(651,486) = 105462
Lets's calculate GCF of 25,9206
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105462/1
Therefore the LCM of Fractions 651/25,486/9206 is 105462
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 9206
List of positive integer factors of 9206 that divides 9206 without a remainder.
1,2,4603,9206
Greatest Common Factor
We found the factors 25,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 25,9206 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 651/25, 486/9206?
Answer: LCM of Numerators as per given numbers 651/25, 486/9206 is
LCM of Numerators i.e. for 651,486 is 105462
GCF of denominators i.e. for 25,9206 is 1.
Thus, LCM of Fractions is 105462.Finally, LCM of Fractions for 651/25, 486/9206 is 105462.