Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/31, 212/51, 889/598 quickly i.e. 2827020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/31, 212/51, 889/598 is 2827020.
LCM(30/31, 212/51, 889/598) = 2827020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/31,212/51,889/598
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 30,212,889
Least Common Multiple of Numerators i.e. LCM of 30,212,889 is 2827020.
GCF of Denominators means GCF of 31,51,598 as per the given fractions.
GCF of 31,51,598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,212,889
2 | 30, 212, 889 |
15, 106, 889 |
∴ So the LCM of the given numbers is 2 x 15 x 106 x 889 = 2827020
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 30,212,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,212,889) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,212,889) x common factors =1 x 2 = 2
LCM(30,212,889) = ( 30 × 212 × 889 ) / 2
LCM(30,212,889) = 5654040 / 2
LCM(30,212,889) = 2827020
Lets's calculate GCF of 31,51,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2827020/1
Therefore the LCM of Fractions 30/31,212/51,889/598 is 2827020
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 31,51,598 . The biggest common factor number is the GCF number.
So the greatest common factor 31,51,598 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 30/31, 212/51, 889/598?
Answer: LCM of Numerators as per given numbers 30/31, 212/51, 889/598 is
LCM of Numerators i.e. for 30,212,889 is 2827020
GCF of denominators i.e. for 31,51,598 is 1.
Thus, LCM of Fractions is 2827020.Finally, LCM of Fractions for 30/31, 212/51, 889/598 is 2827020.