Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/922, 127/204, 935/453 quickly i.e. 11637010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/922, 127/204, 935/453 is 11637010.
LCM(98/922, 127/204, 935/453) = 11637010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/922,127/204,935/453
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 98,127,935
Least Common Multiple of Numerators i.e. LCM of 98,127,935 is 11637010.
GCF of Denominators means GCF of 922,204,453 as per the given fractions.
GCF of 922,204,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,127,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 11637010
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 98,127,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,127,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,127,935) x common factors =1 x 1 = 1
LCM(98,127,935) = ( 98 × 127 × 935 ) / 1
LCM(98,127,935) = 11637010 / 1
LCM(98,127,935) = 11637010
Lets's calculate GCF of 922,204,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11637010/1
Therefore the LCM of Fractions 98/922,127/204,935/453 is 11637010
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 922,204,453 . The biggest common factor number is the GCF number.
So the greatest common factor 922,204,453 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 98/922, 127/204, 935/453?
Answer: LCM of Numerators as per given numbers 98/922, 127/204, 935/453 is
LCM of Numerators i.e. for 98,127,935 is 11637010
GCF of denominators i.e. for 922,204,453 is 1.
Thus, LCM of Fractions is 11637010.Finally, LCM of Fractions for 98/922, 127/204, 935/453 is 11637010.