Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/961, 6140/8539 quickly i.e. 92100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/961, 6140/8539 is 92100.
LCM(75/961, 6140/8539) = 92100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/961,6140/8539
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 75,6140
Least Common Multiple of Numerators i.e. LCM of 75,6140 is 92100.
GCF of Denominators means GCF of 961,8539 as per the given fractions.
GCF of 961,8539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,6140
5 | 75, 6140 |
15, 1228 |
∴ So the LCM of the given numbers is 5 x 15 x 1228 = 92100
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 75,6140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,6140) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(75,6140) x common factors =5 x 1 = 5
LCM(75,6140) = ( 75 × 6140 ) / 5
LCM(75,6140) = 460500 / 5
LCM(75,6140) = 92100
Lets's calculate GCF of 961,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92100/1
Therefore the LCM of Fractions 75/961,6140/8539 is 92100
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 8539
List of positive integer factors of 8539 that divides 8539 without a remainder.
1,8539
Greatest Common Factor
We found the factors 961,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 961,8539 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 75/961, 6140/8539?
Answer: LCM of Numerators as per given numbers 75/961, 6140/8539 is
LCM of Numerators i.e. for 75,6140 is 92100
GCF of denominators i.e. for 961,8539 is 1.
Thus, LCM of Fractions is 92100.Finally, LCM of Fractions for 75/961, 6140/8539 is 92100.