LCM of 500, 686, 964, 462, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 500, 686, 964, 462, 287 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 500, 686, 964, 462, 287. So, keep reading to learn more.
Given numbers are 500,686,964,462,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 500,686,964,462,287 is 55921519500.
Find LCM of 500,686,964,462,287 with Prime Factorization
| 2 | 500, 686, 964, 462, 287 |
| 2 | 250, 343, 482, 231, 287 |
| 7 | 125, 343, 241, 231, 287 |
| 125, 49, 241, 33, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 125 x 49 x 241 x 33 x 41 = 55921519500
Therefore, the lowest common multiple of 500,686,964,462,287 is 55921519500.
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.
500 x 686 x 964 x 462 x 287 = 43842471288000
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.
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
686 : 1, 2, 7, 14, 49, 98, 343, 686
964 : 1, 2, 4, 241, 482, 964
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,686,964,462,287, is 1.
Now, the common factors can be found like this.
500:2x 2x 5x 5x 5
686:2x 7x 7x 7
964:2x 2x 241
462:2x 3x 7x 11
287:7x 41
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 2x 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 43842471288000/(1x784)
LCM = 43842471288000/784
LCM = 55921519500
Thus, we can understand that the LCM of 500,686,964,462,287 is 55921519500.
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FAQs on LCM of 500, 686, 964, 462, 287
1. What is the LCM of 500, 686, 964, 462, 287?
Answer: LCM of 500, 686, 964, 462, 287 is 55921519500.
2. How to calculate the LCM of 500, 686, 964, 462, 287?
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 500, 686, 964, 462, 287.
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}.