Find the LCM of 465, 899, 406, 505, 551 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 465, 899, 406, 505, 551. So, keep reading to learn more.
Given numbers are 465,899,406,505,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,899,406,505,551 is 362288010.
Find LCM of 465,899,406,505,551 with Prime Factorization
5 | 465, 899, 406, 505, 551 |
29 | 93, 899, 406, 101, 551 |
31 | 93, 31, 14, 101, 19 |
3, 1, 14, 101, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 31 x 3 x 1 x 14 x 101 x 19 = 362288010
Therefore, the lowest common multiple of 465,899,406,505,551 is 362288010.
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.
465 x 899 x 406 x 505 x 551 = 47226053543550
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
899 : 1, 29, 31, 899
406 : 1, 2, 7, 14, 29, 58, 203, 406
505 : 1, 5, 101, 505
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,899,406,505,551, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
899:29x 31
406:2x 7x 29
505:5x 101
551:19x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29x 29x 31 = 130355
Therefore, the value for common factors is 130355.
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 = 47226053543550/(1x130355)
LCM = 47226053543550/130355
LCM = 362288010
Thus, we can understand that the LCM of 465,899,406,505,551 is 362288010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 465, 899, 406, 505, 551?
Answer: LCM of 465, 899, 406, 505, 551 is 362288010.
2. How to calculate the LCM of 465, 899, 406, 505, 551?
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 465, 899, 406, 505, 551.
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}.