Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/555, 2548/1475 quickly i.e. 2548/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/555, 2548/1475 is 2548/5.
LCM(98/555, 2548/1475) = 2548/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/555,2548/1475
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 98,2548
Least Common Multiple of Numerators i.e. LCM of 98,2548 is 2548.
GCF of Denominators means GCF of 555,1475 as per the given fractions.
GCF of 555,1475 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,2548
2 | 98, 2548 |
7 | 49, 1274 |
7 | 7, 182 |
1, 26 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 26 = 2548
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 98,2548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,2548) = 98
common factors(in case of two or more numbers have common factors) = 1
GCF(98,2548) x common factors =98 x 1 = 98
LCM(98,2548) = ( 98 × 2548 ) / 98
LCM(98,2548) = 249704 / 98
LCM(98,2548) = 2548
Lets's calculate GCF of 555,1475
5 | 555, 1475 |
111, 295 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2548/5
Therefore the LCM of Fractions 98/555,2548/1475 is 2548/5
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 1475
List of positive integer factors of 1475 that divides 1475 without a remainder.
1,5,25,59,295,1475
Greatest Common Factor
We found the factors 555,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 555,1475 is 5.
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 98/555, 2548/1475?
Answer: LCM of Numerators as per given numbers 98/555, 2548/1475 is
LCM of Numerators i.e. for 98,2548 is 2548
GCF of denominators i.e. for 555,1475 is 5.
Thus, LCM of Fractions is 2548/5.Finally, LCM of Fractions for 98/555, 2548/1475 is 2548/5.