Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/634, 550/580, 502/781 quickly i.e. 20845550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/634, 550/580, 502/781 is 20845550.
LCM(755/634, 550/580, 502/781) = 20845550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/634,550/580,502/781
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 755,550,502
Least Common Multiple of Numerators i.e. LCM of 755,550,502 is 20845550.
GCF of Denominators means GCF of 634,580,781 as per the given fractions.
GCF of 634,580,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,550,502
2 | 755, 550, 502 |
5 | 755, 275, 251 |
151, 55, 251 |
∴ So the LCM of the given numbers is 2 x 5 x 151 x 55 x 251 = 20845550
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 755,550,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,550,502) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(755,550,502) x common factors =1 x 10 = 10
LCM(755,550,502) = ( 755 × 550 × 502 ) / 10
LCM(755,550,502) = 208455500 / 10
LCM(755,550,502) = 20845550
Lets's calculate GCF of 634,580,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20845550/1
Therefore the LCM of Fractions 755/634,550/580,502/781 is 20845550
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 634,580,781 . The biggest common factor number is the GCF number.
So the greatest common factor 634,580,781 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 755/634, 550/580, 502/781?
Answer: LCM of Numerators as per given numbers 755/634, 550/580, 502/781 is
LCM of Numerators i.e. for 755,550,502 is 20845550
GCF of denominators i.e. for 634,580,781 is 1.
Thus, LCM of Fractions is 20845550.Finally, LCM of Fractions for 755/634, 550/580, 502/781 is 20845550.