Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/770, 9485/9221 quickly i.e. 180215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/770, 9485/9221 is 180215.
LCM(19/770, 9485/9221) = 180215
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/770,9485/9221
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 19,9485
Least Common Multiple of Numerators i.e. LCM of 19,9485 is 180215.
GCF of Denominators means GCF of 770,9221 as per the given fractions.
GCF of 770,9221 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,9485
Given numbers has no common factors except 1. So, there LCM is their product i.e 180215
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 19,9485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,9485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,9485) x common factors =1 x 1 = 1
LCM(19,9485) = ( 19 × 9485 ) / 1
LCM(19,9485) = 180215 / 1
LCM(19,9485) = 180215
Lets's calculate GCF of 770,9221
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180215/1
Therefore the LCM of Fractions 19/770,9485/9221 is 180215
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 9221
List of positive integer factors of 9221 that divides 9221 without a remainder.
1,9221
Greatest Common Factor
We found the factors 770,9221 . The biggest common factor number is the GCF number.
So the greatest common factor 770,9221 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 19/770, 9485/9221?
Answer: LCM of Numerators as per given numbers 19/770, 9485/9221 is
LCM of Numerators i.e. for 19,9485 is 180215
GCF of denominators i.e. for 770,9221 is 1.
Thus, LCM of Fractions is 180215.Finally, LCM of Fractions for 19/770, 9485/9221 is 180215.