Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 426/12, 262/6577 quickly i.e. 55806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 426/12, 262/6577 is 55806.
LCM(426/12, 262/6577) = 55806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 426/12,262/6577
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 426,262
Least Common Multiple of Numerators i.e. LCM of 426,262 is 55806.
GCF of Denominators means GCF of 12,6577 as per the given fractions.
GCF of 12,6577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 426,262
2 | 426, 262 |
213, 131 |
∴ So the LCM of the given numbers is 2 x 213 x 131 = 55806
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 426,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,262) x common factors =2 x 1 = 2
LCM(426,262) = ( 426 × 262 ) / 2
LCM(426,262) = 111612 / 2
LCM(426,262) = 55806
Lets's calculate GCF of 12,6577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55806/1
Therefore the LCM of Fractions 426/12,262/6577 is 55806
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 6577
List of positive integer factors of 6577 that divides 6577 without a remainder.
1,6577
Greatest Common Factor
We found the factors 12,6577 . The biggest common factor number is the GCF number.
So the greatest common factor 12,6577 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 426/12, 262/6577?
Answer: LCM of Numerators as per given numbers 426/12, 262/6577 is
LCM of Numerators i.e. for 426,262 is 55806
GCF of denominators i.e. for 12,6577 is 1.
Thus, LCM of Fractions is 55806.Finally, LCM of Fractions for 426/12, 262/6577 is 55806.