Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/503, 710/998, 951/382 quickly i.e. 20931510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/503, 710/998, 951/382 is 20931510.
LCM(31/503, 710/998, 951/382) = 20931510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/503,710/998,951/382
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 31,710,951
Least Common Multiple of Numerators i.e. LCM of 31,710,951 is 20931510.
GCF of Denominators means GCF of 503,998,382 as per the given fractions.
GCF of 503,998,382 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,710,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 20931510
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 31,710,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,710,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,710,951) x common factors =1 x 1 = 1
LCM(31,710,951) = ( 31 × 710 × 951 ) / 1
LCM(31,710,951) = 20931510 / 1
LCM(31,710,951) = 20931510
Lets's calculate GCF of 503,998,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20931510/1
Therefore the LCM of Fractions 31/503,710/998,951/382 is 20931510
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 503,998,382 . The biggest common factor number is the GCF number.
So the greatest common factor 503,998,382 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 31/503, 710/998, 951/382?
Answer: LCM of Numerators as per given numbers 31/503, 710/998, 951/382 is
LCM of Numerators i.e. for 31,710,951 is 20931510
GCF of denominators i.e. for 503,998,382 is 1.
Thus, LCM of Fractions is 20931510.Finally, LCM of Fractions for 31/503, 710/998, 951/382 is 20931510.