Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/964, 337/276, 299/352 quickly i.e. 48063951/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/964, 337/276, 299/352 is 48063951/4.
LCM(477/964, 337/276, 299/352) = 48063951/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/964,337/276,299/352
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 477,337,299
Least Common Multiple of Numerators i.e. LCM of 477,337,299 is 48063951.
GCF of Denominators means GCF of 964,276,352 as per the given fractions.
GCF of 964,276,352 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,337,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 48063951
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 477,337,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,337,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,337,299) x common factors =1 x 1 = 1
LCM(477,337,299) = ( 477 × 337 × 299 ) / 1
LCM(477,337,299) = 48063951 / 1
LCM(477,337,299) = 48063951
Lets's calculate GCF of 964,276,352
2 | 964, 276, 352 |
2 | 482, 138, 176 |
241, 69, 88 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48063951/4
Therefore the LCM of Fractions 477/964,337/276,299/352 is 48063951/4
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
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 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 964,276,352 . The biggest common factor number is the GCF number.
So the greatest common factor 964,276,352 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 477/964, 337/276, 299/352?
Answer: LCM of Numerators as per given numbers 477/964, 337/276, 299/352 is
LCM of Numerators i.e. for 477,337,299 is 48063951
GCF of denominators i.e. for 964,276,352 is 4.
Thus, LCM of Fractions is 48063951/4.Finally, LCM of Fractions for 477/964, 337/276, 299/352 is 48063951/4.