Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/964, 647/194, 998/692 quickly i.e. 8394178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/964, 647/194, 998/692 is 8394178.
LCM(52/964, 647/194, 998/692) = 8394178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/964,647/194,998/692
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 52,647,998
Least Common Multiple of Numerators i.e. LCM of 52,647,998 is 16788356.
GCF of Denominators means GCF of 964,194,692 as per the given fractions.
GCF of 964,194,692 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,647,998
2 | 52, 647, 998 |
26, 647, 499 |
∴ So the LCM of the given numbers is 2 x 26 x 647 x 499 = 16788356
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 52,647,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,647,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,647,998) x common factors =1 x 2 = 2
LCM(52,647,998) = ( 52 × 647 × 998 ) / 2
LCM(52,647,998) = 33576712 / 2
LCM(52,647,998) = 16788356
Lets's calculate GCF of 964,194,692
2 | 964, 194, 692 |
482, 97, 346 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16788356/2
Therefore the LCM of Fractions 52/964,647/194,998/692 is 8394178
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 964,194,692 . The biggest common factor number is the GCF number.
So the greatest common factor 964,194,692 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 52/964, 647/194, 998/692?
Answer: LCM of Numerators as per given numbers 52/964, 647/194, 998/692 is
LCM of Numerators i.e. for 52,647,998 is 16788356
GCF of denominators i.e. for 964,194,692 is 2.
Thus, LCM of Fractions is 8394178.Finally, LCM of Fractions for 52/964, 647/194, 998/692 is 8394178.