Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/101, 55/994, 31/509 quickly i.e. 1705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/101, 55/994, 31/509 is 1705.
LCM(5/101, 55/994, 31/509) = 1705
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/101,55/994,31/509
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 5,55,31
Least Common Multiple of Numerators i.e. LCM of 5,55,31 is 1705.
GCF of Denominators means GCF of 101,994,509 as per the given fractions.
GCF of 101,994,509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,55,31
5 | 5, 55, 31 |
1, 11, 31 |
∴ So the LCM of the given numbers is 5 x 1 x 11 x 31 = 1705
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 5,55,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,55,31) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(5,55,31) x common factors =1 x 5 = 5
LCM(5,55,31) = ( 5 × 55 × 31 ) / 5
LCM(5,55,31) = 8525 / 5
LCM(5,55,31) = 1705
Lets's calculate GCF of 101,994,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1705/1
Therefore the LCM of Fractions 5/101,55/994,31/509 is 1705
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 101,994,509 . The biggest common factor number is the GCF number.
So the greatest common factor 101,994,509 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 5/101, 55/994, 31/509?
Answer: LCM of Numerators as per given numbers 5/101, 55/994, 31/509 is
LCM of Numerators i.e. for 5,55,31 is 1705
GCF of denominators i.e. for 101,994,509 is 1.
Thus, LCM of Fractions is 1705.Finally, LCM of Fractions for 5/101, 55/994, 31/509 is 1705.