LCM of 365, 910, 531, 537, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 910, 531, 537, 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 365, 910, 531, 537, 455. So, keep reading to learn more.
Given numbers are 365,910,531,537,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,910,531,537,455 is 6314105070.
Find LCM of 365,910,531,537,455 with Prime Factorization
| 3 | 365, 910, 531, 537, 455 |
| 5 | 365, 910, 177, 179, 455 |
| 7 | 73, 182, 177, 179, 91 |
| 13 | 73, 26, 177, 179, 13 |
| 73, 2, 177, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 73 x 2 x 177 x 179 x 1 = 6314105070
Therefore, the lowest common multiple of 365,910,531,537,455 is 6314105070.
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.
365 x 910 x 531 x 537 x 455 = 43093767102750
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.
365 : 1, 5, 73, 365
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
531 : 1, 3, 9, 59, 177, 531
537 : 1, 3, 179, 537
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 365,910,531,537,455, is 1.
Now, the common factors can be found like this.
365:5x 73
910:2x 5x 7x 13
531:3x 3x 59
537:3x 179
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.
3x 5x 5x 7x 13 = 6825
Therefore, the value for common factors is 6825.
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 = 43093767102750/(1x6825)
LCM = 43093767102750/6825
LCM = 6314105070
Thus, we can understand that the LCM of 365,910,531,537,455 is 6314105070.
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FAQs on LCM of 365, 910, 531, 537, 455
1. What is the LCM of 365, 910, 531, 537, 455?
Answer: LCM of 365, 910, 531, 537, 455 is 6314105070.
2. How to calculate the LCM of 365, 910, 531, 537, 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 365, 910, 531, 537, 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}.