Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2698/890, 8655/435 quickly i.e. 4670238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2698/890, 8655/435 is 4670238.
LCM(2698/890, 8655/435) = 4670238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2698/890,8655/435
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 2698,8655
Least Common Multiple of Numerators i.e. LCM of 2698,8655 is 23351190.
GCF of Denominators means GCF of 890,435 as per the given fractions.
GCF of 890,435 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2698,8655
Given numbers has no common factors except 1. So, there LCM is their product i.e 23351190
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 2698,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2698,8655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2698,8655) x common factors =1 x 1 = 1
LCM(2698,8655) = ( 2698 × 8655 ) / 1
LCM(2698,8655) = 23351190 / 1
LCM(2698,8655) = 23351190
Lets's calculate GCF of 890,435
5 | 890, 435 |
178, 87 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23351190/5
Therefore the LCM of Fractions 2698/890,8655/435 is 4670238
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 890,435 . The biggest common factor number is the GCF number.
So the greatest common factor 890,435 is 5.
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 2698/890, 8655/435?
Answer: LCM of Numerators as per given numbers 2698/890, 8655/435 is
LCM of Numerators i.e. for 2698,8655 is 23351190
GCF of denominators i.e. for 890,435 is 5.
Thus, LCM of Fractions is 4670238.Finally, LCM of Fractions for 2698/890, 8655/435 is 4670238.