Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/46, 65/80, 403/470 quickly i.e. 98735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/46, 65/80, 403/470 is 98735.
LCM(98/46, 65/80, 403/470) = 98735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/46,65/80,403/470
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 98,65,403
Least Common Multiple of Numerators i.e. LCM of 98,65,403 is 197470.
GCF of Denominators means GCF of 46,80,470 as per the given fractions.
GCF of 46,80,470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,65,403
13 | 98, 65, 403 |
98, 5, 31 |
∴ So the LCM of the given numbers is 13 x 98 x 5 x 31 = 197470
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 98,65,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,65,403) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(98,65,403) x common factors =1 x 13 = 13
LCM(98,65,403) = ( 98 × 65 × 403 ) / 13
LCM(98,65,403) = 2567110 / 13
LCM(98,65,403) = 197470
Lets's calculate GCF of 46,80,470
2 | 46, 80, 470 |
23, 40, 235 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197470/2
Therefore the LCM of Fractions 98/46,65/80,403/470 is 98735
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 46,80,470 . The biggest common factor number is the GCF number.
So the greatest common factor 46,80,470 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 98/46, 65/80, 403/470?
Answer: LCM of Numerators as per given numbers 98/46, 65/80, 403/470 is
LCM of Numerators i.e. for 98,65,403 is 197470
GCF of denominators i.e. for 46,80,470 is 2.
Thus, LCM of Fractions is 98735.Finally, LCM of Fractions for 98/46, 65/80, 403/470 is 98735.