Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6230/530, 6699/7961 quickly i.e. 5962110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6230/530, 6699/7961 is 5962110.
LCM(6230/530, 6699/7961) = 5962110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6230/530,6699/7961
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 6230,6699
Least Common Multiple of Numerators i.e. LCM of 6230,6699 is 5962110.
GCF of Denominators means GCF of 530,7961 as per the given fractions.
GCF of 530,7961 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6230,6699
7 | 6230, 6699 |
890, 957 |
∴ So the LCM of the given numbers is 7 x 890 x 957 = 5962110
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 6230,6699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6230,6699) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(6230,6699) x common factors =7 x 1 = 7
LCM(6230,6699) = ( 6230 × 6699 ) / 7
LCM(6230,6699) = 41734770 / 7
LCM(6230,6699) = 5962110
Lets's calculate GCF of 530,7961
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5962110/1
Therefore the LCM of Fractions 6230/530,6699/7961 is 5962110
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 7961
List of positive integer factors of 7961 that divides 7961 without a remainder.
1,19,419,7961
Greatest Common Factor
We found the factors 530,7961 . The biggest common factor number is the GCF number.
So the greatest common factor 530,7961 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 6230/530, 6699/7961?
Answer: LCM of Numerators as per given numbers 6230/530, 6699/7961 is
LCM of Numerators i.e. for 6230,6699 is 5962110
GCF of denominators i.e. for 530,7961 is 1.
Thus, LCM of Fractions is 5962110.Finally, LCM of Fractions for 6230/530, 6699/7961 is 5962110.