LCM of 566, 369, 510, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 369, 510, 566 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 566, 369, 510, 566. So, keep reading to learn more.
Given numbers are 566,369,510,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,369,510,566 is 17752590.
Find LCM of 566,369,510,566 with Prime Factorization
| 2 | 566, 369, 510, 566 |
| 3 | 283, 369, 255, 283 |
| 283 | 283, 123, 85, 283 |
| 1, 123, 85, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 1 x 123 x 85 x 1 = 17752590
Therefore, the lowest common multiple of 566,369,510,566 is 17752590.
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.
566 x 369 x 510 x 566 = 60287795640
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.
566 : 1, 2, 283, 566
369 : 1, 3, 9, 41, 123, 369
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,369,510,566, is 1.
Now, the common factors can be found like this.
566:2x 283
369:3x 3x 41
510:2x 3x 5x 17
566:2x 283
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 3x 283 = 3396
Therefore, the value for common factors is 3396.
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 = 60287795640/(1x3396)
LCM = 60287795640/3396
LCM = 17752590
Thus, we can understand that the LCM of 566,369,510,566 is 17752590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 566, 369, 510, 566
1. What is the LCM of 566, 369, 510, 566?
Answer: LCM of 566, 369, 510, 566 is 17752590.
2. How to calculate the LCM of 566, 369, 510, 566?
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 566, 369, 510, 566.
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}.