Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/953, 3173/497 quickly i.e. 1167664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/953, 3173/497 is 1167664.
LCM(368/953, 3173/497) = 1167664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/953,3173/497
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 368,3173
Least Common Multiple of Numerators i.e. LCM of 368,3173 is 1167664.
GCF of Denominators means GCF of 953,497 as per the given fractions.
GCF of 953,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,3173
Given numbers has no common factors except 1. So, there LCM is their product i.e 1167664
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 368,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,3173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,3173) x common factors =1 x 1 = 1
LCM(368,3173) = ( 368 × 3173 ) / 1
LCM(368,3173) = 1167664 / 1
LCM(368,3173) = 1167664
Lets's calculate GCF of 953,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1167664/1
Therefore the LCM of Fractions 368/953,3173/497 is 1167664
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 953,497 . The biggest common factor number is the GCF number.
So the greatest common factor 953,497 is 1.
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 368/953, 3173/497?
Answer: LCM of Numerators as per given numbers 368/953, 3173/497 is
LCM of Numerators i.e. for 368,3173 is 1167664
GCF of denominators i.e. for 953,497 is 1.
Thus, LCM of Fractions is 1167664.Finally, LCM of Fractions for 368/953, 3173/497 is 1167664.