LCM of 590, 400, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 400, 720 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 590, 400, 720. So, keep reading to learn more.
Given numbers are 590,400,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,400,720 is 212400.
Find LCM of 590,400,720 with Prime Factorization
| 2 | 590, 400, 720 |
| 2 | 295, 200, 360 |
| 2 | 295, 100, 180 |
| 2 | 295, 50, 90 |
| 5 | 295, 25, 45 |
| 59, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 59 x 5 x 9 = 212400
Therefore, the lowest common multiple of 590,400,720 is 212400.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
590 x 400 x 720 = 169920000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
590 : 1, 2, 5, 10, 59, 118, 295, 590
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,400,720, is 10.
Now, the common factors can be found like this.
590:2x 5x 59
400:2x 2x 2x 2x 5x 5
720:2x 2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5 = 80
Therefore, the value for common factors is 80.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 169920000/(10x80)
LCM = 169920000/800
LCM = 212400
Thus, we can understand that the LCM of 590,400,720 is 212400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 400, 720
1. What is the LCM of 590, 400, 720?
Answer: LCM of 590, 400, 720 is 212400.
2. How to calculate the LCM of 590, 400, 720?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 590, 400, 720.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.