Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 500/86, 480/34, 754/16 quickly i.e. 2262000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 500/86, 480/34, 754/16 is 2262000.
LCM(500/86, 480/34, 754/16) = 2262000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 500/86,480/34,754/16
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 500,480,754
Least Common Multiple of Numerators i.e. LCM of 500,480,754 is 4524000.
GCF of Denominators means GCF of 86,34,16 as per the given fractions.
GCF of 86,34,16 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 500,480,754
2 | 500, 480, 754 |
2 | 250, 240, 377 |
5 | 125, 120, 377 |
25, 24, 377 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 24 x 377 = 4524000
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 500,480,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,480,754) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(500,480,754) x common factors =2 x 20 = 40
LCM(500,480,754) = ( 500 × 480 × 754 ) / 40
LCM(500,480,754) = 180960000 / 40
LCM(500,480,754) = 4524000
Lets's calculate GCF of 86,34,16
2 | 86, 34, 16 |
43, 17, 8 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4524000/2
Therefore the LCM of Fractions 500/86,480/34,754/16 is 2262000
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 86,34,16 . The biggest common factor number is the GCF number.
So the greatest common factor 86,34,16 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 500/86, 480/34, 754/16?
Answer: LCM of Numerators as per given numbers 500/86, 480/34, 754/16 is
LCM of Numerators i.e. for 500,480,754 is 4524000
GCF of denominators i.e. for 86,34,16 is 2.
Thus, LCM of Fractions is 2262000.Finally, LCM of Fractions for 500/86, 480/34, 754/16 is 2262000.