Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/35, 696/80, 885/895 quickly i.e. 2504904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/35, 696/80, 885/895 is 2504904.
LCM(61/35, 696/80, 885/895) = 2504904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/35,696/80,885/895
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 61,696,885
Least Common Multiple of Numerators i.e. LCM of 61,696,885 is 12524520.
GCF of Denominators means GCF of 35,80,895 as per the given fractions.
GCF of 35,80,895 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,696,885
3 | 61, 696, 885 |
61, 232, 295 |
∴ So the LCM of the given numbers is 3 x 61 x 232 x 295 = 12524520
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 61,696,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,696,885) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(61,696,885) x common factors =1 x 3 = 3
LCM(61,696,885) = ( 61 × 696 × 885 ) / 3
LCM(61,696,885) = 37573560 / 3
LCM(61,696,885) = 12524520
Lets's calculate GCF of 35,80,895
5 | 35, 80, 895 |
7, 16, 179 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12524520/5
Therefore the LCM of Fractions 61/35,696/80,885/895 is 2504904
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 35,80,895 . The biggest common factor number is the GCF number.
So the greatest common factor 35,80,895 is 5.
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 61/35, 696/80, 885/895?
Answer: LCM of Numerators as per given numbers 61/35, 696/80, 885/895 is
LCM of Numerators i.e. for 61,696,885 is 12524520
GCF of denominators i.e. for 35,80,895 is 5.
Thus, LCM of Fractions is 2504904.Finally, LCM of Fractions for 61/35, 696/80, 885/895 is 2504904.