Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/276, 3999/398 quickly i.e. 1107723/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/276, 3999/398 is 1107723/2.
LCM(277/276, 3999/398) = 1107723/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/276,3999/398
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 277,3999
Least Common Multiple of Numerators i.e. LCM of 277,3999 is 1107723.
GCF of Denominators means GCF of 276,398 as per the given fractions.
GCF of 276,398 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,3999
Given numbers has no common factors except 1. So, there LCM is their product i.e 1107723
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 277,3999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,3999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,3999) x common factors =1 x 1 = 1
LCM(277,3999) = ( 277 × 3999 ) / 1
LCM(277,3999) = 1107723 / 1
LCM(277,3999) = 1107723
Lets's calculate GCF of 276,398
2 | 276, 398 |
138, 199 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1107723/2
Therefore the LCM of Fractions 277/276,3999/398 is 1107723/2
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 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 276,398 . The biggest common factor number is the GCF number.
So the greatest common factor 276,398 is 2.
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 277/276, 3999/398?
Answer: LCM of Numerators as per given numbers 277/276, 3999/398 is
LCM of Numerators i.e. for 277,3999 is 1107723
GCF of denominators i.e. for 276,398 is 2.
Thus, LCM of Fractions is 1107723/2.Finally, LCM of Fractions for 277/276, 3999/398 is 1107723/2.