Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/757, 781/707, 108/176 quickly i.e. 19568736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/757, 781/707, 108/176 is 19568736.
LCM(928/757, 781/707, 108/176) = 19568736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/757,781/707,108/176
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 928,781,108
Least Common Multiple of Numerators i.e. LCM of 928,781,108 is 19568736.
GCF of Denominators means GCF of 757,707,176 as per the given fractions.
GCF of 757,707,176 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,781,108
2 | 928, 781, 108 |
2 | 464, 781, 54 |
232, 781, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 232 x 781 x 27 = 19568736
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 928,781,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,781,108) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(928,781,108) x common factors =1 x 4 = 4
LCM(928,781,108) = ( 928 × 781 × 108 ) / 4
LCM(928,781,108) = 78274944 / 4
LCM(928,781,108) = 19568736
Lets's calculate GCF of 757,707,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19568736/1
Therefore the LCM of Fractions 928/757,781/707,108/176 is 19568736
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 757,707,176 . The biggest common factor number is the GCF number.
So the greatest common factor 757,707,176 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 928/757, 781/707, 108/176?
Answer: LCM of Numerators as per given numbers 928/757, 781/707, 108/176 is
LCM of Numerators i.e. for 928,781,108 is 19568736
GCF of denominators i.e. for 757,707,176 is 1.
Thus, LCM of Fractions is 19568736.Finally, LCM of Fractions for 928/757, 781/707, 108/176 is 19568736.