Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/900, 81/759, 811/553 quickly i.e. 6437718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/900, 81/759, 811/553 is 6437718.
LCM(98/900, 81/759, 811/553) = 6437718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/900,81/759,811/553
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 98,81,811
Least Common Multiple of Numerators i.e. LCM of 98,81,811 is 6437718.
GCF of Denominators means GCF of 900,759,553 as per the given fractions.
GCF of 900,759,553 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,81,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 6437718
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 98,81,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,81,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,81,811) x common factors =1 x 1 = 1
LCM(98,81,811) = ( 98 × 81 × 811 ) / 1
LCM(98,81,811) = 6437718 / 1
LCM(98,81,811) = 6437718
Lets's calculate GCF of 900,759,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6437718/1
Therefore the LCM of Fractions 98/900,81/759,811/553 is 6437718
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 900,759,553 . The biggest common factor number is the GCF number.
So the greatest common factor 900,759,553 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 98/900, 81/759, 811/553?
Answer: LCM of Numerators as per given numbers 98/900, 81/759, 811/553 is
LCM of Numerators i.e. for 98,81,811 is 6437718
GCF of denominators i.e. for 900,759,553 is 1.
Thus, LCM of Fractions is 6437718.Finally, LCM of Fractions for 98/900, 81/759, 811/553 is 6437718.