LCM of 360, 462, 637, 505, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 462, 637, 505, 818 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 360, 462, 637, 505, 818. So, keep reading to learn more.
Given numbers are 360,462,637,505,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,462,637,505,818 is 104202778680.
Find LCM of 360,462,637,505,818 with Prime Factorization
| 2 | 360, 462, 637, 505, 818 |
| 3 | 180, 231, 637, 505, 409 |
| 5 | 60, 77, 637, 505, 409 |
| 7 | 12, 77, 637, 101, 409 |
| 12, 11, 91, 101, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 12 x 11 x 91 x 101 x 409 = 104202778680
Therefore, the lowest common multiple of 360,462,637,505,818 is 104202778680.
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.
360 x 462 x 637 x 505 x 818 = 43765167045600
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
637 : 1, 7, 13, 49, 91, 637
505 : 1, 5, 101, 505
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,462,637,505,818, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
462:2x 3x 7x 11
637:7x 7x 13
505:5x 101
818:2x 409
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 43765167045600/(1x420)
LCM = 43765167045600/420
LCM = 104202778680
Thus, we can understand that the LCM of 360,462,637,505,818 is 104202778680.
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FAQs on LCM of 360, 462, 637, 505, 818
1. What is the LCM of 360, 462, 637, 505, 818?
Answer: LCM of 360, 462, 637, 505, 818 is 104202778680.
2. How to calculate the LCM of 360, 462, 637, 505, 818?
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 360, 462, 637, 505, 818.
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}.