Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/93, 792/61, 745/297 quickly i.e. 18291240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/93, 792/61, 745/297 is 18291240.
LCM(31/93, 792/61, 745/297) = 18291240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/93,792/61,745/297
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 31,792,745
Least Common Multiple of Numerators i.e. LCM of 31,792,745 is 18291240.
GCF of Denominators means GCF of 93,61,297 as per the given fractions.
GCF of 93,61,297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,792,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 18291240
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 31,792,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,792,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,792,745) x common factors =1 x 1 = 1
LCM(31,792,745) = ( 31 × 792 × 745 ) / 1
LCM(31,792,745) = 18291240 / 1
LCM(31,792,745) = 18291240
Lets's calculate GCF of 93,61,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18291240/1
Therefore the LCM of Fractions 31/93,792/61,745/297 is 18291240
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 93,61,297 . The biggest common factor number is the GCF number.
So the greatest common factor 93,61,297 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 31/93, 792/61, 745/297?
Answer: LCM of Numerators as per given numbers 31/93, 792/61, 745/297 is
LCM of Numerators i.e. for 31,792,745 is 18291240
GCF of denominators i.e. for 93,61,297 is 1.
Thus, LCM of Fractions is 18291240.Finally, LCM of Fractions for 31/93, 792/61, 745/297 is 18291240.