Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/276, 5864/4684 quickly i.e. 17592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/276, 5864/4684 is 17592.
LCM(96/276, 5864/4684) = 17592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/276,5864/4684
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 96,5864
Least Common Multiple of Numerators i.e. LCM of 96,5864 is 70368.
GCF of Denominators means GCF of 276,4684 as per the given fractions.
GCF of 276,4684 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,5864
2 | 96, 5864 |
2 | 48, 2932 |
2 | 24, 1466 |
12, 733 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 733 = 70368
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 96,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,5864) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(96,5864) x common factors =8 x 1 = 8
LCM(96,5864) = ( 96 × 5864 ) / 8
LCM(96,5864) = 562944 / 8
LCM(96,5864) = 70368
Lets's calculate GCF of 276,4684
2 | 276, 4684 |
2 | 138, 2342 |
69, 1171 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70368/4
Therefore the LCM of Fractions 96/276,5864/4684 is 17592
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 4684
List of positive integer factors of 4684 that divides 4684 without a remainder.
1,2,4,1171,2342,4684
Greatest Common Factor
We found the factors 276,4684 . The biggest common factor number is the GCF number.
So the greatest common factor 276,4684 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 96/276, 5864/4684?
Answer: LCM of Numerators as per given numbers 96/276, 5864/4684 is
LCM of Numerators i.e. for 96,5864 is 70368
GCF of denominators i.e. for 276,4684 is 4.
Thus, LCM of Fractions is 17592.Finally, LCM of Fractions for 96/276, 5864/4684 is 17592.