Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3139/898, 6846/982 quickly i.e. 10744797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3139/898, 6846/982 is 10744797.
LCM(3139/898, 6846/982) = 10744797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3139/898,6846/982
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 3139,6846
Least Common Multiple of Numerators i.e. LCM of 3139,6846 is 21489594.
GCF of Denominators means GCF of 898,982 as per the given fractions.
GCF of 898,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3139,6846
Given numbers has no common factors except 1. So, there LCM is their product i.e 21489594
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 3139,6846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3139,6846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3139,6846) x common factors =1 x 1 = 1
LCM(3139,6846) = ( 3139 × 6846 ) / 1
LCM(3139,6846) = 21489594 / 1
LCM(3139,6846) = 21489594
Lets's calculate GCF of 898,982
2 | 898, 982 |
449, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21489594/2
Therefore the LCM of Fractions 3139/898,6846/982 is 10744797
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 898,982 . The biggest common factor number is the GCF number.
So the greatest common factor 898,982 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 3139/898, 6846/982?
Answer: LCM of Numerators as per given numbers 3139/898, 6846/982 is
LCM of Numerators i.e. for 3139,6846 is 21489594
GCF of denominators i.e. for 898,982 is 2.
Thus, LCM of Fractions is 10744797.Finally, LCM of Fractions for 3139/898, 6846/982 is 10744797.