Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7876/284, 1088/6799 quickly i.e. 2142272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7876/284, 1088/6799 is 2142272.
LCM(7876/284, 1088/6799) = 2142272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7876/284,1088/6799
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 7876,1088
Least Common Multiple of Numerators i.e. LCM of 7876,1088 is 2142272.
GCF of Denominators means GCF of 284,6799 as per the given fractions.
GCF of 284,6799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7876,1088
2 | 7876, 1088 |
2 | 3938, 544 |
1969, 272 |
∴ So the LCM of the given numbers is 2 x 2 x 1969 x 272 = 2142272
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 7876,1088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7876,1088) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7876,1088) x common factors =4 x 1 = 4
LCM(7876,1088) = ( 7876 × 1088 ) / 4
LCM(7876,1088) = 8569088 / 4
LCM(7876,1088) = 2142272
Lets's calculate GCF of 284,6799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2142272/1
Therefore the LCM of Fractions 7876/284,1088/6799 is 2142272
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 6799
List of positive integer factors of 6799 that divides 6799 without a remainder.
1,13,523,6799
Greatest Common Factor
We found the factors 284,6799 . The biggest common factor number is the GCF number.
So the greatest common factor 284,6799 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 7876/284, 1088/6799?
Answer: LCM of Numerators as per given numbers 7876/284, 1088/6799 is
LCM of Numerators i.e. for 7876,1088 is 2142272
GCF of denominators i.e. for 284,6799 is 1.
Thus, LCM of Fractions is 2142272.Finally, LCM of Fractions for 7876/284, 1088/6799 is 2142272.