Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 323/276, 4391/7348 quickly i.e. 1418293/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 323/276, 4391/7348 is 1418293/4.
LCM(323/276, 4391/7348) = 1418293/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 323/276,4391/7348
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 323,4391
Least Common Multiple of Numerators i.e. LCM of 323,4391 is 1418293.
GCF of Denominators means GCF of 276,7348 as per the given fractions.
GCF of 276,7348 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 323,4391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418293
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 323,4391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,4391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,4391) x common factors =1 x 1 = 1
LCM(323,4391) = ( 323 × 4391 ) / 1
LCM(323,4391) = 1418293 / 1
LCM(323,4391) = 1418293
Lets's calculate GCF of 276,7348
2 | 276, 7348 |
2 | 138, 3674 |
69, 1837 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1418293/4
Therefore the LCM of Fractions 323/276,4391/7348 is 1418293/4
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 7348
List of positive integer factors of 7348 that divides 7348 without a remainder.
1,2,4,11,22,44,167,334,668,1837,3674,7348
Greatest Common Factor
We found the factors 276,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 276,7348 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 323/276, 4391/7348?
Answer: LCM of Numerators as per given numbers 323/276, 4391/7348 is
LCM of Numerators i.e. for 323,4391 is 1418293
GCF of denominators i.e. for 276,7348 is 4.
Thus, LCM of Fractions is 1418293/4.Finally, LCM of Fractions for 323/276, 4391/7348 is 1418293/4.