Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/775, 8426/1404 quickly i.e. 8426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/775, 8426/1404 is 8426.
LCM(22/775, 8426/1404) = 8426
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/775,8426/1404
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 22,8426
Least Common Multiple of Numerators i.e. LCM of 22,8426 is 8426.
GCF of Denominators means GCF of 775,1404 as per the given fractions.
GCF of 775,1404 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,8426
2 | 22, 8426 |
11 | 11, 4213 |
1, 383 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 383 = 8426
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 22,8426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,8426) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(22,8426) x common factors =22 x 1 = 22
LCM(22,8426) = ( 22 × 8426 ) / 22
LCM(22,8426) = 185372 / 22
LCM(22,8426) = 8426
Lets's calculate GCF of 775,1404
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8426/1
Therefore the LCM of Fractions 22/775,8426/1404 is 8426
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 1404
List of positive integer factors of 1404 that divides 1404 without a remainder.
1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Greatest Common Factor
We found the factors 775,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 775,1404 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 22/775, 8426/1404?
Answer: LCM of Numerators as per given numbers 22/775, 8426/1404 is
LCM of Numerators i.e. for 22,8426 is 8426
GCF of denominators i.e. for 775,1404 is 1.
Thus, LCM of Fractions is 8426.Finally, LCM of Fractions for 22/775, 8426/1404 is 8426.