Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/492, 4266/899 quickly i.e. 1309662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/492, 4266/899 is 1309662.
LCM(921/492, 4266/899) = 1309662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/492,4266/899
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 921,4266
Least Common Multiple of Numerators i.e. LCM of 921,4266 is 1309662.
GCF of Denominators means GCF of 492,899 as per the given fractions.
GCF of 492,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,4266
3 | 921, 4266 |
307, 1422 |
∴ So the LCM of the given numbers is 3 x 307 x 1422 = 1309662
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 921,4266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,4266) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,4266) x common factors =3 x 1 = 3
LCM(921,4266) = ( 921 × 4266 ) / 3
LCM(921,4266) = 3928986 / 3
LCM(921,4266) = 1309662
Lets's calculate GCF of 492,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1309662/1
Therefore the LCM of Fractions 921/492,4266/899 is 1309662
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 492,899 . The biggest common factor number is the GCF number.
So the greatest common factor 492,899 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 921/492, 4266/899?
Answer: LCM of Numerators as per given numbers 921/492, 4266/899 is
LCM of Numerators i.e. for 921,4266 is 1309662
GCF of denominators i.e. for 492,899 is 1.
Thus, LCM of Fractions is 1309662.Finally, LCM of Fractions for 921/492, 4266/899 is 1309662.