Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/98, 173/52, 718/146 quickly i.e. 931605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/98, 173/52, 718/146 is 931605.
LCM(15/98, 173/52, 718/146) = 931605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/98,173/52,718/146
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 15,173,718
Least Common Multiple of Numerators i.e. LCM of 15,173,718 is 1863210.
GCF of Denominators means GCF of 98,52,146 as per the given fractions.
GCF of 98,52,146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,173,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 1863210
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 15,173,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,173,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,173,718) x common factors =1 x 1 = 1
LCM(15,173,718) = ( 15 × 173 × 718 ) / 1
LCM(15,173,718) = 1863210 / 1
LCM(15,173,718) = 1863210
Lets's calculate GCF of 98,52,146
2 | 98, 52, 146 |
49, 26, 73 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1863210/2
Therefore the LCM of Fractions 15/98,173/52,718/146 is 931605
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 98,52,146 . The biggest common factor number is the GCF number.
So the greatest common factor 98,52,146 is 2.
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 15/98, 173/52, 718/146?
Answer: LCM of Numerators as per given numbers 15/98, 173/52, 718/146 is
LCM of Numerators i.e. for 15,173,718 is 1863210
GCF of denominators i.e. for 98,52,146 is 2.
Thus, LCM of Fractions is 931605.Finally, LCM of Fractions for 15/98, 173/52, 718/146 is 931605.