Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/778, 225/529 quickly i.e. 48825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/778, 225/529 is 48825.
LCM(651/778, 225/529) = 48825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/778,225/529
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 651,225
Least Common Multiple of Numerators i.e. LCM of 651,225 is 48825.
GCF of Denominators means GCF of 778,529 as per the given fractions.
GCF of 778,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,225
3 | 651, 225 |
217, 75 |
∴ So the LCM of the given numbers is 3 x 217 x 75 = 48825
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 651,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,225) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,225) x common factors =3 x 1 = 3
LCM(651,225) = ( 651 × 225 ) / 3
LCM(651,225) = 146475 / 3
LCM(651,225) = 48825
Lets's calculate GCF of 778,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48825/1
Therefore the LCM of Fractions 651/778,225/529 is 48825
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 778,529 . The biggest common factor number is the GCF number.
So the greatest common factor 778,529 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 651/778, 225/529?
Answer: LCM of Numerators as per given numbers 651/778, 225/529 is
LCM of Numerators i.e. for 651,225 is 48825
GCF of denominators i.e. for 778,529 is 1.
Thus, LCM of Fractions is 48825.Finally, LCM of Fractions for 651/778, 225/529 is 48825.