Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 698/210, 3859/8902 quickly i.e. 1346791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 698/210, 3859/8902 is 1346791.
LCM(698/210, 3859/8902) = 1346791
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 698/210,3859/8902
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 698,3859
Least Common Multiple of Numerators i.e. LCM of 698,3859 is 2693582.
GCF of Denominators means GCF of 210,8902 as per the given fractions.
GCF of 210,8902 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 698,3859
Given numbers has no common factors except 1. So, there LCM is their product i.e 2693582
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 698,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,3859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,3859) x common factors =1 x 1 = 1
LCM(698,3859) = ( 698 × 3859 ) / 1
LCM(698,3859) = 2693582 / 1
LCM(698,3859) = 2693582
Lets's calculate GCF of 210,8902
2 | 210, 8902 |
105, 4451 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2693582/2
Therefore the LCM of Fractions 698/210,3859/8902 is 1346791
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 8902
List of positive integer factors of 8902 that divides 8902 without a remainder.
1,2,4451,8902
Greatest Common Factor
We found the factors 210,8902 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8902 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 698/210, 3859/8902?
Answer: LCM of Numerators as per given numbers 698/210, 3859/8902 is
LCM of Numerators i.e. for 698,3859 is 2693582
GCF of denominators i.e. for 210,8902 is 2.
Thus, LCM of Fractions is 1346791.Finally, LCM of Fractions for 698/210, 3859/8902 is 1346791.