Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 675/98, 576/99, 755/926 quickly i.e. 6523200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 675/98, 576/99, 755/926 is 6523200.
LCM(675/98, 576/99, 755/926) = 6523200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 675/98,576/99,755/926
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 675,576,755
Least Common Multiple of Numerators i.e. LCM of 675,576,755 is 6523200.
GCF of Denominators means GCF of 98,99,926 as per the given fractions.
GCF of 98,99,926 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 675,576,755
3 | 675, 576, 755 |
3 | 225, 192, 755 |
5 | 75, 64, 755 |
15, 64, 151 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 64 x 151 = 6523200
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 675,576,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,576,755) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(675,576,755) x common factors =1 x 45 = 45
LCM(675,576,755) = ( 675 × 576 × 755 ) / 45
LCM(675,576,755) = 293544000 / 45
LCM(675,576,755) = 6523200
Lets's calculate GCF of 98,99,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6523200/1
Therefore the LCM of Fractions 675/98,576/99,755/926 is 6523200
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 98,99,926 . The biggest common factor number is the GCF number.
So the greatest common factor 98,99,926 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 675/98, 576/99, 755/926?
Answer: LCM of Numerators as per given numbers 675/98, 576/99, 755/926 is
LCM of Numerators i.e. for 675,576,755 is 6523200
GCF of denominators i.e. for 98,99,926 is 1.
Thus, LCM of Fractions is 6523200.Finally, LCM of Fractions for 675/98, 576/99, 755/926 is 6523200.