Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8856/56, 9222/176 quickly i.e. 1701459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8856/56, 9222/176 is 1701459.
LCM(8856/56, 9222/176) = 1701459
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8856/56,9222/176
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 8856,9222
Least Common Multiple of Numerators i.e. LCM of 8856,9222 is 13611672.
GCF of Denominators means GCF of 56,176 as per the given fractions.
GCF of 56,176 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8856,9222
2 | 8856, 9222 |
3 | 4428, 4611 |
1476, 1537 |
∴ So the LCM of the given numbers is 2 x 3 x 1476 x 1537 = 13611672
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 8856,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8856,9222) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(8856,9222) x common factors =6 x 1 = 6
LCM(8856,9222) = ( 8856 × 9222 ) / 6
LCM(8856,9222) = 81670032 / 6
LCM(8856,9222) = 13611672
Lets's calculate GCF of 56,176
2 | 56, 176 |
2 | 28, 88 |
2 | 14, 44 |
7, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13611672/8
Therefore the LCM of Fractions 8856/56,9222/176 is 1701459
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 56,176 . The biggest common factor number is the GCF number.
So the greatest common factor 56,176 is 8.
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 8856/56, 9222/176?
Answer: LCM of Numerators as per given numbers 8856/56, 9222/176 is
LCM of Numerators i.e. for 8856,9222 is 13611672
GCF of denominators i.e. for 56,176 is 8.
Thus, LCM of Fractions is 1701459.Finally, LCM of Fractions for 8856/56, 9222/176 is 1701459.