Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/225, 78/176, 117/832 quickly i.e. 2106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/225, 78/176, 117/832 is 2106.
LCM(81/225, 78/176, 117/832) = 2106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/225,78/176,117/832
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 81,78,117
Least Common Multiple of Numerators i.e. LCM of 81,78,117 is 2106.
GCF of Denominators means GCF of 225,176,832 as per the given fractions.
GCF of 225,176,832 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,78,117
3 | 81, 78, 117 |
3 | 27, 26, 39 |
13 | 9, 26, 13 |
9, 2, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 9 x 2 x 1 = 2106
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 81,78,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,78,117) = 3
common factors(in case of two or more numbers have common factors) = 117
GCF(81,78,117) x common factors =3 x 117 = 351
LCM(81,78,117) = ( 81 × 78 × 117 ) / 351
LCM(81,78,117) = 739206 / 351
LCM(81,78,117) = 2106
Lets's calculate GCF of 225,176,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2106/1
Therefore the LCM of Fractions 81/225,78/176,117/832 is 2106
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
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
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 225,176,832 . The biggest common factor number is the GCF number.
So the greatest common factor 225,176,832 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 81/225, 78/176, 117/832?
Answer: LCM of Numerators as per given numbers 81/225, 78/176, 117/832 is
LCM of Numerators i.e. for 81,78,117 is 2106
GCF of denominators i.e. for 225,176,832 is 1.
Thus, LCM of Fractions is 2106.Finally, LCM of Fractions for 81/225, 78/176, 117/832 is 2106.