Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8850/755, 1694/3020 quickly i.e. 7495950/755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8850/755, 1694/3020 is 7495950/755.
LCM(8850/755, 1694/3020) = 7495950/755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8850/755,1694/3020
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 8850,1694
Least Common Multiple of Numerators i.e. LCM of 8850,1694 is 7495950.
GCF of Denominators means GCF of 755,3020 as per the given fractions.
GCF of 755,3020 is 755 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8850,1694
2 | 8850, 1694 |
4425, 847 |
∴ So the LCM of the given numbers is 2 x 4425 x 847 = 7495950
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 8850,1694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8850,1694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8850,1694) x common factors =2 x 1 = 2
LCM(8850,1694) = ( 8850 × 1694 ) / 2
LCM(8850,1694) = 14991900 / 2
LCM(8850,1694) = 7495950
Lets's calculate GCF of 755,3020
5 | 755, 3020 |
151 | 151, 604 |
1, 4 |
∴ So the GCF of the given numbers is 5 x 151 = 755
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7495950/755
Therefore the LCM of Fractions 8850/755,1694/3020 is 7495950/755
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 3020
List of positive integer factors of 3020 that divides 3020 without a remainder.
1,2,4,5,10,20,151,302,604,755,1510,3020
Greatest Common Factor
We found the factors 755,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 755,3020 is 755.
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 8850/755, 1694/3020?
Answer: LCM of Numerators as per given numbers 8850/755, 1694/3020 is
LCM of Numerators i.e. for 8850,1694 is 7495950
GCF of denominators i.e. for 755,3020 is 755.
Thus, LCM of Fractions is 7495950/755.Finally, LCM of Fractions for 8850/755, 1694/3020 is 7495950/755.