LCM of 510, 800, 420, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 800, 420, 535 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 510, 800, 420, 535. So, keep reading to learn more.
Given numbers are 510,800,420,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,800,420,535 is 30559200.
Find LCM of 510,800,420,535 with Prime Factorization
| 2 | 510, 800, 420, 535 |
| 2 | 255, 400, 210, 535 |
| 3 | 255, 200, 105, 535 |
| 5 | 85, 200, 35, 535 |
| 17, 40, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 40 x 7 x 107 = 30559200
Therefore, the lowest common multiple of 510,800,420,535 is 30559200.
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.
510 x 800 x 420 x 535 = 91677600000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
535 : 1, 5, 107, 535
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,800,420,535, is 5.
Now, the common factors can be found like this.
510:2x 3x 5x 17
800:2x 2x 2x 2x 2x 5x 5
420:2x 2x 3x 5x 7
535:5x 107
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 91677600000/(5x600)
LCM = 91677600000/3000
LCM = 30559200
Thus, we can understand that the LCM of 510,800,420,535 is 30559200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 800, 420, 535
1. What is the LCM of 510, 800, 420, 535?
Answer: LCM of 510, 800, 420, 535 is 30559200.
2. How to calculate the LCM of 510, 800, 420, 535?
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 510, 800, 420, 535.
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}.