Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/120, 65/650, 580/814 quickly i.e. 41470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/120, 65/650, 580/814 is 41470.
LCM(44/120, 65/650, 580/814) = 41470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/120,65/650,580/814
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 44,65,580
Least Common Multiple of Numerators i.e. LCM of 44,65,580 is 82940.
GCF of Denominators means GCF of 120,650,814 as per the given fractions.
GCF of 120,650,814 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,65,580
2 | 44, 65, 580 |
2 | 22, 65, 290 |
5 | 11, 65, 145 |
11, 13, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 13 x 29 = 82940
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 44,65,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,65,580) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(44,65,580) x common factors =1 x 20 = 20
LCM(44,65,580) = ( 44 × 65 × 580 ) / 20
LCM(44,65,580) = 1658800 / 20
LCM(44,65,580) = 82940
Lets's calculate GCF of 120,650,814
2 | 120, 650, 814 |
60, 325, 407 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82940/2
Therefore the LCM of Fractions 44/120,65/650,580/814 is 41470
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 120,650,814 . The biggest common factor number is the GCF number.
So the greatest common factor 120,650,814 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 44/120, 65/650, 580/814?
Answer: LCM of Numerators as per given numbers 44/120, 65/650, 580/814 is
LCM of Numerators i.e. for 44,65,580 is 82940
GCF of denominators i.e. for 120,650,814 is 2.
Thus, LCM of Fractions is 41470.Finally, LCM of Fractions for 44/120, 65/650, 580/814 is 41470.