LCM of 499, 833, 490, 581, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 833, 490, 581, 504 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, 833, 490, 581, 504. So, keep reading to learn more.
Given numbers are 499,833,490,581,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,833,490,581,504 is 12420129960.
Find LCM of 499,833,490,581,504 with Prime Factorization
| 2 | 499, 833, 490, 581, 504 |
| 7 | 499, 833, 245, 581, 252 |
| 7 | 499, 119, 35, 83, 36 |
| 499, 17, 5, 83, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 499 x 17 x 5 x 83 x 36 = 12420129960
Therefore, the lowest common multiple of 499,833,490,581,504 is 12420129960.
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 833 x 490 x 581 x 504 = 59641464067920
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
833 : 1, 7, 17, 49, 119, 833
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
581 : 1, 7, 83, 581
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,833,490,581,504, is 1.
Now, the common factors can be found like this.
499:499
833:7x 7x 17
490:2x 5x 7x 7
581:7x 83
504:2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 7 = 4802
Therefore, the value for common factors is 4802.
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 = 59641464067920/(1x4802)
LCM = 59641464067920/4802
LCM = 12420129960
Thus, we can understand that the LCM of 499,833,490,581,504 is 12420129960.
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FAQs on LCM of 499, 833, 490, 581, 504
1. What is the LCM of 499, 833, 490, 581, 504?
Answer: LCM of 499, 833, 490, 581, 504 is 12420129960.
2. How to calculate the LCM of 499, 833, 490, 581, 504?
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, 833, 490, 581, 504.
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}.