LCM of 565, 528, 110, 377, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 528, 110, 377, 455 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 565, 528, 110, 377, 455. So, keep reading to learn more.
Given numbers are 565,528,110,377,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,528,110,377,455 is 787266480.
Find LCM of 565,528,110,377,455 with Prime Factorization
| 2 | 565, 528, 110, 377, 455 |
| 5 | 565, 264, 55, 377, 455 |
| 11 | 113, 264, 11, 377, 91 |
| 13 | 113, 24, 1, 377, 91 |
| 113, 24, 1, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 113 x 24 x 1 x 29 x 7 = 787266480
Therefore, the lowest common multiple of 565,528,110,377,455 is 787266480.
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.
565 x 528 x 110 x 377 x 455 = 5628955332000
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.
565 : 1, 5, 113, 565
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
110 : 1, 2, 5, 10, 11, 22, 55, 110
377 : 1, 13, 29, 377
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,528,110,377,455, is 1.
Now, the common factors can be found like this.
565:5x 113
528:2x 2x 2x 2x 3x 11
110:2x 5x 11
377:13x 29
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 13 = 7150
Therefore, the value for common factors is 7150.
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 = 5628955332000/(1x7150)
LCM = 5628955332000/7150
LCM = 787266480
Thus, we can understand that the LCM of 565,528,110,377,455 is 787266480.
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FAQs on LCM of 565, 528, 110, 377, 455
1. What is the LCM of 565, 528, 110, 377, 455?
Answer: LCM of 565, 528, 110, 377, 455 is 787266480.
2. How to calculate the LCM of 565, 528, 110, 377, 455?
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 565, 528, 110, 377, 455.
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}.