Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 803/88, 217/68, 434/232 quickly i.e. 348502/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 803/88, 217/68, 434/232 is 348502/4.
LCM(803/88, 217/68, 434/232) = 348502/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 803/88,217/68,434/232
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 803,217,434
Least Common Multiple of Numerators i.e. LCM of 803,217,434 is 348502.
GCF of Denominators means GCF of 88,68,232 as per the given fractions.
GCF of 88,68,232 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 803,217,434
7 | 803, 217, 434 |
31 | 803, 31, 62 |
803, 1, 2 |
∴ So the LCM of the given numbers is 7 x 31 x 803 x 1 x 2 = 348502
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 803,217,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,217,434) = 1
common factors(in case of two or more numbers have common factors) = 217
GCF(803,217,434) x common factors =1 x 217 = 217
LCM(803,217,434) = ( 803 × 217 × 434 ) / 217
LCM(803,217,434) = 75624934 / 217
LCM(803,217,434) = 348502
Lets's calculate GCF of 88,68,232
2 | 88, 68, 232 |
2 | 44, 34, 116 |
22, 17, 58 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348502/4
Therefore the LCM of Fractions 803/88,217/68,434/232 is 348502/4
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 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 88,68,232 . The biggest common factor number is the GCF number.
So the greatest common factor 88,68,232 is 4.
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 803/88, 217/68, 434/232?
Answer: LCM of Numerators as per given numbers 803/88, 217/68, 434/232 is
LCM of Numerators i.e. for 803,217,434 is 348502
GCF of denominators i.e. for 88,68,232 is 4.
Thus, LCM of Fractions is 348502/4.Finally, LCM of Fractions for 803/88, 217/68, 434/232 is 348502/4.