Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/93, 94/94, 907/25 quickly i.e. 2642998 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, 94/94, 907/25 is 2642998.
LCM(31/93, 94/94, 907/25) = 2642998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/93,94/94,907/25
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 31,94,907
Least Common Multiple of Numerators i.e. LCM of 31,94,907 is 2642998.
GCF of Denominators means GCF of 93,94,25 as per the given fractions.
GCF of 93,94,25 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,94,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 2642998
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 31,94,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,94,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,94,907) x common factors =1 x 1 = 1
LCM(31,94,907) = ( 31 × 94 × 907 ) / 1
LCM(31,94,907) = 2642998 / 1
LCM(31,94,907) = 2642998
Lets's calculate GCF of 93,94,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2642998/1
Therefore the LCM of Fractions 31/93,94/94,907/25 is 2642998
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 93,94,25 . The biggest common factor number is the GCF number.
So the greatest common factor 93,94,25 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, 94/94, 907/25?
Answer: LCM of Numerators as per given numbers 31/93, 94/94, 907/25 is
LCM of Numerators i.e. for 31,94,907 is 2642998
GCF of denominators i.e. for 93,94,25 is 1.
Thus, LCM of Fractions is 2642998.Finally, LCM of Fractions for 31/93, 94/94, 907/25 is 2642998.