Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 898/35, 177/7965 quickly i.e. 158946/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 898/35, 177/7965 is 158946/5.
LCM(898/35, 177/7965) = 158946/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 898/35,177/7965
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 898,177
Least Common Multiple of Numerators i.e. LCM of 898,177 is 158946.
GCF of Denominators means GCF of 35,7965 as per the given fractions.
GCF of 35,7965 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 898,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 158946
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 898,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,177) x common factors =1 x 1 = 1
LCM(898,177) = ( 898 × 177 ) / 1
LCM(898,177) = 158946 / 1
LCM(898,177) = 158946
Lets's calculate GCF of 35,7965
5 | 35, 7965 |
7, 1593 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158946/5
Therefore the LCM of Fractions 898/35,177/7965 is 158946/5
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 7965
List of positive integer factors of 7965 that divides 7965 without a remainder.
1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Greatest Common Factor
We found the factors 35,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7965 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 898/35, 177/7965?
Answer: LCM of Numerators as per given numbers 898/35, 177/7965 is
LCM of Numerators i.e. for 898,177 is 158946
GCF of denominators i.e. for 35,7965 is 5.
Thus, LCM of Fractions is 158946/5.Finally, LCM of Fractions for 898/35, 177/7965 is 158946/5.