Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6293/698, 1423/8080 quickly i.e. 8954939/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6293/698, 1423/8080 is 8954939/2.
LCM(6293/698, 1423/8080) = 8954939/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6293/698,1423/8080
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 6293,1423
Least Common Multiple of Numerators i.e. LCM of 6293,1423 is 8954939.
GCF of Denominators means GCF of 698,8080 as per the given fractions.
GCF of 698,8080 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6293,1423
Given numbers has no common factors except 1. So, there LCM is their product i.e 8954939
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 6293,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6293,1423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6293,1423) x common factors =1 x 1 = 1
LCM(6293,1423) = ( 6293 × 1423 ) / 1
LCM(6293,1423) = 8954939 / 1
LCM(6293,1423) = 8954939
Lets's calculate GCF of 698,8080
2 | 698, 8080 |
349, 4040 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8954939/2
Therefore the LCM of Fractions 6293/698,1423/8080 is 8954939/2
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 8080
List of positive integer factors of 8080 that divides 8080 without a remainder.
1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Greatest Common Factor
We found the factors 698,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 698,8080 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 6293/698, 1423/8080?
Answer: LCM of Numerators as per given numbers 6293/698, 1423/8080 is
LCM of Numerators i.e. for 6293,1423 is 8954939
GCF of denominators i.e. for 698,8080 is 2.
Thus, LCM of Fractions is 8954939/2.Finally, LCM of Fractions for 6293/698, 1423/8080 is 8954939/2.