Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8799/126, 6462/869 quickly i.e. 18953046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8799/126, 6462/869 is 18953046.
LCM(8799/126, 6462/869) = 18953046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8799/126,6462/869
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 8799,6462
Least Common Multiple of Numerators i.e. LCM of 8799,6462 is 18953046.
GCF of Denominators means GCF of 126,869 as per the given fractions.
GCF of 126,869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8799,6462
3 | 8799, 6462 |
2933, 2154 |
∴ So the LCM of the given numbers is 3 x 2933 x 2154 = 18953046
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 8799,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8799,6462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8799,6462) x common factors =3 x 1 = 3
LCM(8799,6462) = ( 8799 × 6462 ) / 3
LCM(8799,6462) = 56859138 / 3
LCM(8799,6462) = 18953046
Lets's calculate GCF of 126,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18953046/1
Therefore the LCM of Fractions 8799/126,6462/869 is 18953046
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 126,869 . The biggest common factor number is the GCF number.
So the greatest common factor 126,869 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 8799/126, 6462/869?
Answer: LCM of Numerators as per given numbers 8799/126, 6462/869 is
LCM of Numerators i.e. for 8799,6462 is 18953046
GCF of denominators i.e. for 126,869 is 1.
Thus, LCM of Fractions is 18953046.Finally, LCM of Fractions for 8799/126, 6462/869 is 18953046.