Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/125, 911/175 quickly i.e. 897335/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/125, 911/175 is 897335/25.
LCM(985/125, 911/175) = 897335/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/125,911/175
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 985,911
Least Common Multiple of Numerators i.e. LCM of 985,911 is 897335.
GCF of Denominators means GCF of 125,175 as per the given fractions.
GCF of 125,175 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 897335
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 985,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,911) x common factors =1 x 1 = 1
LCM(985,911) = ( 985 × 911 ) / 1
LCM(985,911) = 897335 / 1
LCM(985,911) = 897335
Lets's calculate GCF of 125,175
5 | 125, 175 |
5 | 25, 35 |
5, 7 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897335/25
Therefore the LCM of Fractions 985/125,911/175 is 897335/25
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 125,175 . The biggest common factor number is the GCF number.
So the greatest common factor 125,175 is 25.
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 985/125, 911/175?
Answer: LCM of Numerators as per given numbers 985/125, 911/175 is
LCM of Numerators i.e. for 985,911 is 897335
GCF of denominators i.e. for 125,175 is 25.
Thus, LCM of Fractions is 897335/25.Finally, LCM of Fractions for 985/125, 911/175 is 897335/25.