Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/24, 219/38, 703/940 quickly i.e. 45417315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/24, 219/38, 703/940 is 45417315.
LCM(590/24, 219/38, 703/940) = 45417315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/24,219/38,703/940
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 590,219,703
Least Common Multiple of Numerators i.e. LCM of 590,219,703 is 90834630.
GCF of Denominators means GCF of 24,38,940 as per the given fractions.
GCF of 24,38,940 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,219,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 90834630
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 590,219,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,219,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,219,703) x common factors =1 x 1 = 1
LCM(590,219,703) = ( 590 × 219 × 703 ) / 1
LCM(590,219,703) = 90834630 / 1
LCM(590,219,703) = 90834630
Lets's calculate GCF of 24,38,940
2 | 24, 38, 940 |
12, 19, 470 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90834630/2
Therefore the LCM of Fractions 590/24,219/38,703/940 is 45417315
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 24,38,940 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,940 is 2.
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 590/24, 219/38, 703/940?
Answer: LCM of Numerators as per given numbers 590/24, 219/38, 703/940 is
LCM of Numerators i.e. for 590,219,703 is 90834630
GCF of denominators i.e. for 24,38,940 is 2.
Thus, LCM of Fractions is 45417315.Finally, LCM of Fractions for 590/24, 219/38, 703/940 is 45417315.