Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 299/976, 3786/8268 quickly i.e. 1132014/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 299/976, 3786/8268 is 1132014/4.
LCM(299/976, 3786/8268) = 1132014/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 299/976,3786/8268
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 299,3786
Least Common Multiple of Numerators i.e. LCM of 299,3786 is 1132014.
GCF of Denominators means GCF of 976,8268 as per the given fractions.
GCF of 976,8268 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 299,3786
Given numbers has no common factors except 1. So, there LCM is their product i.e 1132014
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 299,3786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,3786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,3786) x common factors =1 x 1 = 1
LCM(299,3786) = ( 299 × 3786 ) / 1
LCM(299,3786) = 1132014 / 1
LCM(299,3786) = 1132014
Lets's calculate GCF of 976,8268
2 | 976, 8268 |
2 | 488, 4134 |
244, 2067 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1132014/4
Therefore the LCM of Fractions 299/976,3786/8268 is 1132014/4
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 8268
List of positive integer factors of 8268 that divides 8268 without a remainder.
1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Greatest Common Factor
We found the factors 976,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 976,8268 is 4.
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 299/976, 3786/8268?
Answer: LCM of Numerators as per given numbers 299/976, 3786/8268 is
LCM of Numerators i.e. for 299,3786 is 1132014
GCF of denominators i.e. for 976,8268 is 4.
Thus, LCM of Fractions is 1132014/4.Finally, LCM of Fractions for 299/976, 3786/8268 is 1132014/4.