Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/360, 420/996, 650/350 quickly i.e. 150150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/360, 420/996, 650/350 is 150150.
LCM(44/360, 420/996, 650/350) = 150150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/360,420/996,650/350
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 44,420,650
Least Common Multiple of Numerators i.e. LCM of 44,420,650 is 300300.
GCF of Denominators means GCF of 360,996,350 as per the given fractions.
GCF of 360,996,350 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,420,650
2 | 44, 420, 650 |
2 | 22, 210, 325 |
5 | 11, 105, 325 |
11, 21, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 21 x 65 = 300300
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 44,420,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,420,650) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(44,420,650) x common factors =2 x 20 = 40
LCM(44,420,650) = ( 44 × 420 × 650 ) / 40
LCM(44,420,650) = 12012000 / 40
LCM(44,420,650) = 300300
Lets's calculate GCF of 360,996,350
2 | 360, 996, 350 |
180, 498, 175 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300300/2
Therefore the LCM of Fractions 44/360,420/996,650/350 is 150150
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 360,996,350 . The biggest common factor number is the GCF number.
So the greatest common factor 360,996,350 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 44/360, 420/996, 650/350?
Answer: LCM of Numerators as per given numbers 44/360, 420/996, 650/350 is
LCM of Numerators i.e. for 44,420,650 is 300300
GCF of denominators i.e. for 360,996,350 is 2.
Thus, LCM of Fractions is 150150.Finally, LCM of Fractions for 44/360, 420/996, 650/350 is 150150.