Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/835, 676/14, 885/696 quickly i.e. 1794780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/835, 676/14, 885/696 is 1794780.
LCM(45/835, 676/14, 885/696) = 1794780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/835,676/14,885/696
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 45,676,885
Least Common Multiple of Numerators i.e. LCM of 45,676,885 is 1794780.
GCF of Denominators means GCF of 835,14,696 as per the given fractions.
GCF of 835,14,696 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,676,885
3 | 45, 676, 885 |
5 | 15, 676, 295 |
3, 676, 59 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 676 x 59 = 1794780
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 45,676,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,676,885) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(45,676,885) x common factors =1 x 15 = 15
LCM(45,676,885) = ( 45 × 676 × 885 ) / 15
LCM(45,676,885) = 26921700 / 15
LCM(45,676,885) = 1794780
Lets's calculate GCF of 835,14,696
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1794780/1
Therefore the LCM of Fractions 45/835,676/14,885/696 is 1794780
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 835,14,696 . The biggest common factor number is the GCF number.
So the greatest common factor 835,14,696 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 45/835, 676/14, 885/696?
Answer: LCM of Numerators as per given numbers 45/835, 676/14, 885/696 is
LCM of Numerators i.e. for 45,676,885 is 1794780
GCF of denominators i.e. for 835,14,696 is 1.
Thus, LCM of Fractions is 1794780.Finally, LCM of Fractions for 45/835, 676/14, 885/696 is 1794780.