Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/490, 7889/7939 quickly i.e. 686343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/490, 7889/7939 is 686343.
LCM(87/490, 7889/7939) = 686343
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/490,7889/7939
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 87,7889
Least Common Multiple of Numerators i.e. LCM of 87,7889 is 686343.
GCF of Denominators means GCF of 490,7939 as per the given fractions.
GCF of 490,7939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,7889
Given numbers has no common factors except 1. So, there LCM is their product i.e 686343
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 87,7889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,7889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,7889) x common factors =1 x 1 = 1
LCM(87,7889) = ( 87 × 7889 ) / 1
LCM(87,7889) = 686343 / 1
LCM(87,7889) = 686343
Lets's calculate GCF of 490,7939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686343/1
Therefore the LCM of Fractions 87/490,7889/7939 is 686343
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors 490,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 490,7939 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 87/490, 7889/7939?
Answer: LCM of Numerators as per given numbers 87/490, 7889/7939 is
LCM of Numerators i.e. for 87,7889 is 686343
GCF of denominators i.e. for 490,7939 is 1.
Thus, LCM of Fractions is 686343.Finally, LCM of Fractions for 87/490, 7889/7939 is 686343.