Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 842/88, 406/7337 quickly i.e. 170926/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 842/88, 406/7337 is 170926/11.
LCM(842/88, 406/7337) = 170926/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 842/88,406/7337
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 842,406
Least Common Multiple of Numerators i.e. LCM of 842,406 is 170926.
GCF of Denominators means GCF of 88,7337 as per the given fractions.
GCF of 88,7337 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 842,406
2 | 842, 406 |
421, 203 |
∴ So the LCM of the given numbers is 2 x 421 x 203 = 170926
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 842,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,406) x common factors =2 x 1 = 2
LCM(842,406) = ( 842 × 406 ) / 2
LCM(842,406) = 341852 / 2
LCM(842,406) = 170926
Lets's calculate GCF of 88,7337
11 | 88, 7337 |
8, 667 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170926/11
Therefore the LCM of Fractions 842/88,406/7337 is 170926/11
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 7337
List of positive integer factors of 7337 that divides 7337 without a remainder.
1,11,23,29,253,319,667,7337
Greatest Common Factor
We found the factors 88,7337 . The biggest common factor number is the GCF number.
So the greatest common factor 88,7337 is 11.
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 842/88, 406/7337?
Answer: LCM of Numerators as per given numbers 842/88, 406/7337 is
LCM of Numerators i.e. for 842,406 is 170926
GCF of denominators i.e. for 88,7337 is 11.
Thus, LCM of Fractions is 170926/11.Finally, LCM of Fractions for 842/88, 406/7337 is 170926/11.