Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/540, 660/812, 880/280 quickly i.e. 3300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/540, 660/812, 880/280 is 3300.
LCM(50/540, 660/812, 880/280) = 3300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/540,660/812,880/280
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 50,660,880
Least Common Multiple of Numerators i.e. LCM of 50,660,880 is 13200.
GCF of Denominators means GCF of 540,812,280 as per the given fractions.
GCF of 540,812,280 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,660,880
2 | 50, 660, 880 |
2 | 25, 330, 440 |
5 | 25, 165, 220 |
11 | 5, 33, 44 |
5, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 5 x 3 x 4 = 13200
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 50,660,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,660,880) = 10
common factors(in case of two or more numbers have common factors) = 220
GCF(50,660,880) x common factors =10 x 220 = 2200
LCM(50,660,880) = ( 50 × 660 × 880 ) / 2200
LCM(50,660,880) = 29040000 / 2200
LCM(50,660,880) = 13200
Lets's calculate GCF of 540,812,280
2 | 540, 812, 280 |
2 | 270, 406, 140 |
135, 203, 70 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13200/4
Therefore the LCM of Fractions 50/540,660/812,880/280 is 3300
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 540,812,280 . The biggest common factor number is the GCF number.
So the greatest common factor 540,812,280 is 4.
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 50/540, 660/812, 880/280?
Answer: LCM of Numerators as per given numbers 50/540, 660/812, 880/280 is
LCM of Numerators i.e. for 50,660,880 is 13200
GCF of denominators i.e. for 540,812,280 is 4.
Thus, LCM of Fractions is 3300.Finally, LCM of Fractions for 50/540, 660/812, 880/280 is 3300.