Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/402, 115/853, 903/988 quickly i.e. 207690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/402, 115/853, 903/988 is 207690.
LCM(30/402, 115/853, 903/988) = 207690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/402,115/853,903/988
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 30,115,903
Least Common Multiple of Numerators i.e. LCM of 30,115,903 is 207690.
GCF of Denominators means GCF of 402,853,988 as per the given fractions.
GCF of 402,853,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,115,903
3 | 30, 115, 903 |
5 | 10, 115, 301 |
2, 23, 301 |
∴ So the LCM of the given numbers is 3 x 5 x 2 x 23 x 301 = 207690
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 30,115,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,115,903) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(30,115,903) x common factors =1 x 15 = 15
LCM(30,115,903) = ( 30 × 115 × 903 ) / 15
LCM(30,115,903) = 3115350 / 15
LCM(30,115,903) = 207690
Lets's calculate GCF of 402,853,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207690/1
Therefore the LCM of Fractions 30/402,115/853,903/988 is 207690
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 402,853,988 . The biggest common factor number is the GCF number.
So the greatest common factor 402,853,988 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 30/402, 115/853, 903/988?
Answer: LCM of Numerators as per given numbers 30/402, 115/853, 903/988 is
LCM of Numerators i.e. for 30,115,903 is 207690
GCF of denominators i.e. for 402,853,988 is 1.
Thus, LCM of Fractions is 207690.Finally, LCM of Fractions for 30/402, 115/853, 903/988 is 207690.