Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8919/855, 2237/988 quickly i.e. 19951803/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8919/855, 2237/988 is 19951803/19.
LCM(8919/855, 2237/988) = 19951803/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8919/855,2237/988
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 8919,2237
Least Common Multiple of Numerators i.e. LCM of 8919,2237 is 19951803.
GCF of Denominators means GCF of 855,988 as per the given fractions.
GCF of 855,988 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8919,2237
Given numbers has no common factors except 1. So, there LCM is their product i.e 19951803
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 8919,2237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8919,2237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8919,2237) x common factors =1 x 1 = 1
LCM(8919,2237) = ( 8919 × 2237 ) / 1
LCM(8919,2237) = 19951803 / 1
LCM(8919,2237) = 19951803
Lets's calculate GCF of 855,988
19 | 855, 988 |
45, 52 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19951803/19
Therefore the LCM of Fractions 8919/855,2237/988 is 19951803/19
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 855,988 . The biggest common factor number is the GCF number.
So the greatest common factor 855,988 is 19.
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 8919/855, 2237/988?
Answer: LCM of Numerators as per given numbers 8919/855, 2237/988 is
LCM of Numerators i.e. for 8919,2237 is 19951803
GCF of denominators i.e. for 855,988 is 19.
Thus, LCM of Fractions is 19951803/19.Finally, LCM of Fractions for 8919/855, 2237/988 is 19951803/19.