Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/766, 93/494, 114/716 quickly i.e. 44175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/766, 93/494, 114/716 is 44175.
LCM(25/766, 93/494, 114/716) = 44175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/766,93/494,114/716
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 25,93,114
Least Common Multiple of Numerators i.e. LCM of 25,93,114 is 88350.
GCF of Denominators means GCF of 766,494,716 as per the given fractions.
GCF of 766,494,716 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,93,114
3 | 25, 93, 114 |
25, 31, 38 |
∴ So the LCM of the given numbers is 3 x 25 x 31 x 38 = 88350
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 25,93,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,93,114) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(25,93,114) x common factors =1 x 3 = 3
LCM(25,93,114) = ( 25 × 93 × 114 ) / 3
LCM(25,93,114) = 265050 / 3
LCM(25,93,114) = 88350
Lets's calculate GCF of 766,494,716
2 | 766, 494, 716 |
383, 247, 358 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88350/2
Therefore the LCM of Fractions 25/766,93/494,114/716 is 44175
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 766,494,716 . The biggest common factor number is the GCF number.
So the greatest common factor 766,494,716 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 25/766, 93/494, 114/716?
Answer: LCM of Numerators as per given numbers 25/766, 93/494, 114/716 is
LCM of Numerators i.e. for 25,93,114 is 88350
GCF of denominators i.e. for 766,494,716 is 2.
Thus, LCM of Fractions is 44175.Finally, LCM of Fractions for 25/766, 93/494, 114/716 is 44175.