Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7986/462, 7076/858 quickly i.e. 428098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7986/462, 7076/858 is 428098.
LCM(7986/462, 7076/858) = 428098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7986/462,7076/858
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 7986,7076
Least Common Multiple of Numerators i.e. LCM of 7986,7076 is 28254468.
GCF of Denominators means GCF of 462,858 as per the given fractions.
GCF of 462,858 is 66 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7986,7076
2 | 7986, 7076 |
3993, 3538 |
∴ So the LCM of the given numbers is 2 x 3993 x 3538 = 28254468
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 7986,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7986,7076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7986,7076) x common factors =2 x 1 = 2
LCM(7986,7076) = ( 7986 × 7076 ) / 2
LCM(7986,7076) = 56508936 / 2
LCM(7986,7076) = 28254468
Lets's calculate GCF of 462,858
2 | 462, 858 |
3 | 231, 429 |
11 | 77, 143 |
7, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28254468/66
Therefore the LCM of Fractions 7986/462,7076/858 is 428098
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 462,858 . The biggest common factor number is the GCF number.
So the greatest common factor 462,858 is 66.
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 7986/462, 7076/858?
Answer: LCM of Numerators as per given numbers 7986/462, 7076/858 is
LCM of Numerators i.e. for 7986,7076 is 28254468
GCF of denominators i.e. for 462,858 is 66.
Thus, LCM of Fractions is 428098.Finally, LCM of Fractions for 7986/462, 7076/858 is 428098.