Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/734, 80/122, 703/586 quickly i.e. 28120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/734, 80/122, 703/586 is 28120.
LCM(19/734, 80/122, 703/586) = 28120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/734,80/122,703/586
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 19,80,703
Least Common Multiple of Numerators i.e. LCM of 19,80,703 is 56240.
GCF of Denominators means GCF of 734,122,586 as per the given fractions.
GCF of 734,122,586 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,80,703
19 | 19, 80, 703 |
1, 80, 37 |
∴ So the LCM of the given numbers is 19 x 1 x 80 x 37 = 56240
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 19,80,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,80,703) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,80,703) x common factors =1 x 19 = 19
LCM(19,80,703) = ( 19 × 80 × 703 ) / 19
LCM(19,80,703) = 1068560 / 19
LCM(19,80,703) = 56240
Lets's calculate GCF of 734,122,586
2 | 734, 122, 586 |
367, 61, 293 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56240/2
Therefore the LCM of Fractions 19/734,80/122,703/586 is 28120
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 734,122,586 . The biggest common factor number is the GCF number.
So the greatest common factor 734,122,586 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 19/734, 80/122, 703/586?
Answer: LCM of Numerators as per given numbers 19/734, 80/122, 703/586 is
LCM of Numerators i.e. for 19,80,703 is 56240
GCF of denominators i.e. for 734,122,586 is 2.
Thus, LCM of Fractions is 28120.Finally, LCM of Fractions for 19/734, 80/122, 703/586 is 28120.