Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/98, 58/434, 63/975 quickly i.e. 14616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/98, 58/434, 63/975 is 14616.
LCM(8/98, 58/434, 63/975) = 14616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/98,58/434,63/975
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 8,58,63
Least Common Multiple of Numerators i.e. LCM of 8,58,63 is 14616.
GCF of Denominators means GCF of 98,434,975 as per the given fractions.
GCF of 98,434,975 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,58,63
2 | 8, 58, 63 |
4, 29, 63 |
∴ So the LCM of the given numbers is 2 x 4 x 29 x 63 = 14616
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 8,58,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,58,63) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,58,63) x common factors =1 x 2 = 2
LCM(8,58,63) = ( 8 × 58 × 63 ) / 2
LCM(8,58,63) = 29232 / 2
LCM(8,58,63) = 14616
Lets's calculate GCF of 98,434,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14616/1
Therefore the LCM of Fractions 8/98,58/434,63/975 is 14616
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 98,434,975 . The biggest common factor number is the GCF number.
So the greatest common factor 98,434,975 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 8/98, 58/434, 63/975?
Answer: LCM of Numerators as per given numbers 8/98, 58/434, 63/975 is
LCM of Numerators i.e. for 8,58,63 is 14616
GCF of denominators i.e. for 98,434,975 is 1.
Thus, LCM of Fractions is 14616.Finally, LCM of Fractions for 8/98, 58/434, 63/975 is 14616.