Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/160, 3492/1016 quickly i.e. 171108/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/160, 3492/1016 is 171108/8.
LCM(98/160, 3492/1016) = 171108/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/160,3492/1016
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 98,3492
Least Common Multiple of Numerators i.e. LCM of 98,3492 is 171108.
GCF of Denominators means GCF of 160,1016 as per the given fractions.
GCF of 160,1016 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,3492
2 | 98, 3492 |
49, 1746 |
∴ So the LCM of the given numbers is 2 x 49 x 1746 = 171108
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 98,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,3492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,3492) x common factors =2 x 1 = 2
LCM(98,3492) = ( 98 × 3492 ) / 2
LCM(98,3492) = 342216 / 2
LCM(98,3492) = 171108
Lets's calculate GCF of 160,1016
2 | 160, 1016 |
2 | 80, 508 |
2 | 40, 254 |
20, 127 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171108/8
Therefore the LCM of Fractions 98/160,3492/1016 is 171108/8
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 1016
List of positive integer factors of 1016 that divides 1016 without a remainder.
1,2,4,8,127,254,508,1016
Greatest Common Factor
We found the factors 160,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 160,1016 is 8.
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 98/160, 3492/1016?
Answer: LCM of Numerators as per given numbers 98/160, 3492/1016 is
LCM of Numerators i.e. for 98,3492 is 171108
GCF of denominators i.e. for 160,1016 is 8.
Thus, LCM of Fractions is 171108/8.Finally, LCM of Fractions for 98/160, 3492/1016 is 171108/8.