Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 889/98, 525/8115 quickly i.e. 66675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 889/98, 525/8115 is 66675.
LCM(889/98, 525/8115) = 66675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 889/98,525/8115
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 889,525
Least Common Multiple of Numerators i.e. LCM of 889,525 is 66675.
GCF of Denominators means GCF of 98,8115 as per the given fractions.
GCF of 98,8115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 889,525
7 | 889, 525 |
127, 75 |
∴ So the LCM of the given numbers is 7 x 127 x 75 = 66675
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 889,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,525) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,525) x common factors =7 x 1 = 7
LCM(889,525) = ( 889 × 525 ) / 7
LCM(889,525) = 466725 / 7
LCM(889,525) = 66675
Lets's calculate GCF of 98,8115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66675/1
Therefore the LCM of Fractions 889/98,525/8115 is 66675
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors 98,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 98,8115 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 889/98, 525/8115?
Answer: LCM of Numerators as per given numbers 889/98, 525/8115 is
LCM of Numerators i.e. for 889,525 is 66675
GCF of denominators i.e. for 98,8115 is 1.
Thus, LCM of Fractions is 66675.Finally, LCM of Fractions for 889/98, 525/8115 is 66675.