LCM of 499, 578, 693, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 578, 693, 999 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 499, 578, 693, 999. So, keep reading to learn more.
Given numbers are 499,578,693,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,578,693,999 is 22186285506.
Find LCM of 499,578,693,999 with Prime Factorization
| 3 | 499, 578, 693, 999 |
| 3 | 499, 578, 231, 333 |
| 499, 578, 77, 111 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 499 x 578 x 77 x 111 = 22186285506
Therefore, the lowest common multiple of 499,578,693,999 is 22186285506.
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.
499 x 578 x 693 x 999 = 199676569554
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.
499 : 1, 499
578 : 1, 2, 17, 34, 289, 578
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,578,693,999, is 1.
Now, the common factors can be found like this.
499:499
578:2x 17x 17
693:3x 3x 7x 11
999:3x 3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 199676569554/(1x9)
LCM = 199676569554/9
LCM = 22186285506
Thus, we can understand that the LCM of 499,578,693,999 is 22186285506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 578, 693, 999
1. What is the LCM of 499, 578, 693, 999?
Answer: LCM of 499, 578, 693, 999 is 22186285506.
2. How to calculate the LCM of 499, 578, 693, 999?
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 499, 578, 693, 999.
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}.