Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 102/803, 829/903, 433/312 quickly i.e. 36613614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 102/803, 829/903, 433/312 is 36613614.
LCM(102/803, 829/903, 433/312) = 36613614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 102/803,829/903,433/312
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 102,829,433
Least Common Multiple of Numerators i.e. LCM of 102,829,433 is 36613614.
GCF of Denominators means GCF of 803,903,312 as per the given fractions.
GCF of 803,903,312 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 102,829,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 36613614
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 102,829,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,829,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,829,433) x common factors =1 x 1 = 1
LCM(102,829,433) = ( 102 × 829 × 433 ) / 1
LCM(102,829,433) = 36613614 / 1
LCM(102,829,433) = 36613614
Lets's calculate GCF of 803,903,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36613614/1
Therefore the LCM of Fractions 102/803,829/903,433/312 is 36613614
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 803,903,312 . The biggest common factor number is the GCF number.
So the greatest common factor 803,903,312 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 102/803, 829/903, 433/312?
Answer: LCM of Numerators as per given numbers 102/803, 829/903, 433/312 is
LCM of Numerators i.e. for 102,829,433 is 36613614
GCF of denominators i.e. for 803,903,312 is 1.
Thus, LCM of Fractions is 36613614.Finally, LCM of Fractions for 102/803, 829/903, 433/312 is 36613614.