Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/100, 362/10, 657/563 quickly i.e. 11653866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/100, 362/10, 657/563 is 11653866.
LCM(98/100, 362/10, 657/563) = 11653866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/100,362/10,657/563
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 98,362,657
Least Common Multiple of Numerators i.e. LCM of 98,362,657 is 11653866.
GCF of Denominators means GCF of 100,10,563 as per the given fractions.
GCF of 100,10,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,362,657
2 | 98, 362, 657 |
49, 181, 657 |
∴ So the LCM of the given numbers is 2 x 49 x 181 x 657 = 11653866
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 98,362,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,362,657) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,362,657) x common factors =1 x 2 = 2
LCM(98,362,657) = ( 98 × 362 × 657 ) / 2
LCM(98,362,657) = 23307732 / 2
LCM(98,362,657) = 11653866
Lets's calculate GCF of 100,10,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11653866/1
Therefore the LCM of Fractions 98/100,362/10,657/563 is 11653866
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 100,10,563 . The biggest common factor number is the GCF number.
So the greatest common factor 100,10,563 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 98/100, 362/10, 657/563?
Answer: LCM of Numerators as per given numbers 98/100, 362/10, 657/563 is
LCM of Numerators i.e. for 98,362,657 is 11653866
GCF of denominators i.e. for 100,10,563 is 1.
Thus, LCM of Fractions is 11653866.Finally, LCM of Fractions for 98/100, 362/10, 657/563 is 11653866.