Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 771/28, 9426/619 quickly i.e. 2422482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 771/28, 9426/619 is 2422482.
LCM(771/28, 9426/619) = 2422482
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 771/28,9426/619
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 771,9426
Least Common Multiple of Numerators i.e. LCM of 771,9426 is 2422482.
GCF of Denominators means GCF of 28,619 as per the given fractions.
GCF of 28,619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 771,9426
3 | 771, 9426 |
257, 3142 |
∴ So the LCM of the given numbers is 3 x 257 x 3142 = 2422482
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 771,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,9426) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,9426) x common factors =3 x 1 = 3
LCM(771,9426) = ( 771 × 9426 ) / 3
LCM(771,9426) = 7267446 / 3
LCM(771,9426) = 2422482
Lets's calculate GCF of 28,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2422482/1
Therefore the LCM of Fractions 771/28,9426/619 is 2422482
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 28,619 . The biggest common factor number is the GCF number.
So the greatest common factor 28,619 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 771/28, 9426/619?
Answer: LCM of Numerators as per given numbers 771/28, 9426/619 is
LCM of Numerators i.e. for 771,9426 is 2422482
GCF of denominators i.e. for 28,619 is 1.
Thus, LCM of Fractions is 2422482.Finally, LCM of Fractions for 771/28, 9426/619 is 2422482.