Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/616, 4834/8381 quickly i.e. 642922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/616, 4834/8381 is 642922.
LCM(266/616, 4834/8381) = 642922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/616,4834/8381
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 266,4834
Least Common Multiple of Numerators i.e. LCM of 266,4834 is 642922.
GCF of Denominators means GCF of 616,8381 as per the given fractions.
GCF of 616,8381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,4834
2 | 266, 4834 |
133, 2417 |
∴ So the LCM of the given numbers is 2 x 133 x 2417 = 642922
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 266,4834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,4834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,4834) x common factors =2 x 1 = 2
LCM(266,4834) = ( 266 × 4834 ) / 2
LCM(266,4834) = 1285844 / 2
LCM(266,4834) = 642922
Lets's calculate GCF of 616,8381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642922/1
Therefore the LCM of Fractions 266/616,4834/8381 is 642922
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1,17,29,289,493,8381
Greatest Common Factor
We found the factors 616,8381 . The biggest common factor number is the GCF number.
So the greatest common factor 616,8381 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 266/616, 4834/8381?
Answer: LCM of Numerators as per given numbers 266/616, 4834/8381 is
LCM of Numerators i.e. for 266,4834 is 642922
GCF of denominators i.e. for 616,8381 is 1.
Thus, LCM of Fractions is 642922.Finally, LCM of Fractions for 266/616, 4834/8381 is 642922.