Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8804/78, 3153/200 quickly i.e. 13879506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8804/78, 3153/200 is 13879506.
LCM(8804/78, 3153/200) = 13879506
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8804/78,3153/200
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 8804,3153
Least Common Multiple of Numerators i.e. LCM of 8804,3153 is 27759012.
GCF of Denominators means GCF of 78,200 as per the given fractions.
GCF of 78,200 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8804,3153
Given numbers has no common factors except 1. So, there LCM is their product i.e 27759012
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 8804,3153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8804,3153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8804,3153) x common factors =1 x 1 = 1
LCM(8804,3153) = ( 8804 × 3153 ) / 1
LCM(8804,3153) = 27759012 / 1
LCM(8804,3153) = 27759012
Lets's calculate GCF of 78,200
2 | 78, 200 |
39, 100 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27759012/2
Therefore the LCM of Fractions 8804/78,3153/200 is 13879506
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 78,200 . The biggest common factor number is the GCF number.
So the greatest common factor 78,200 is 2.
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 8804/78, 3153/200?
Answer: LCM of Numerators as per given numbers 8804/78, 3153/200 is
LCM of Numerators i.e. for 8804,3153 is 27759012
GCF of denominators i.e. for 78,200 is 2.
Thus, LCM of Fractions is 13879506.Finally, LCM of Fractions for 8804/78, 3153/200 is 13879506.