Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/573, 9396/955 quickly i.e. 864432/191 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/573, 9396/955 is 864432/191.
LCM(368/573, 9396/955) = 864432/191
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/573,9396/955
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 368,9396
Least Common Multiple of Numerators i.e. LCM of 368,9396 is 864432.
GCF of Denominators means GCF of 573,955 as per the given fractions.
GCF of 573,955 is 191 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,9396
2 | 368, 9396 |
2 | 184, 4698 |
92, 2349 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 2349 = 864432
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 368,9396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,9396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,9396) x common factors =4 x 1 = 4
LCM(368,9396) = ( 368 × 9396 ) / 4
LCM(368,9396) = 3457728 / 4
LCM(368,9396) = 864432
Lets's calculate GCF of 573,955
191 | 573, 955 |
3, 5 |
∴ So the GCF of the given numbers is 191 = 191
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864432/191
Therefore the LCM of Fractions 368/573,9396/955 is 864432/191
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 573,955 . The biggest common factor number is the GCF number.
So the greatest common factor 573,955 is 191.
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 368/573, 9396/955?
Answer: LCM of Numerators as per given numbers 368/573, 9396/955 is
LCM of Numerators i.e. for 368,9396 is 864432
GCF of denominators i.e. for 573,955 is 191.
Thus, LCM of Fractions is 864432/191.Finally, LCM of Fractions for 368/573, 9396/955 is 864432/191.