LCM of 599, 493, 630, 105, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 493, 630, 105, 324 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 599, 493, 630, 105, 324. So, keep reading to learn more.
Given numbers are 599,493,630,105,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,493,630,105,324 is 3348781380.
Find LCM of 599,493,630,105,324 with Prime Factorization
| 2 | 599, 493, 630, 105, 324 |
| 3 | 599, 493, 315, 105, 162 |
| 3 | 599, 493, 35, 105, 54 |
| 5 | 599, 493, 35, 35, 18 |
| 7 | 599, 493, 7, 7, 18 |
| 599, 493, 1, 1, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 599 x 493 x 1 x 1 x 18 = 3348781380
Therefore, the lowest common multiple of 599,493,630,105,324 is 3348781380.
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.
599 x 493 x 630 x 105 x 324 = 6329196808200
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.
599 : 1, 599
493 : 1, 17, 29, 493
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
105 : 1, 3, 5, 7, 15, 21, 35, 105
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,493,630,105,324, is 1.
Now, the common factors can be found like this.
599:599
493:17x 29
630:2x 3x 3x 5x 7
105:3x 5x 7
324:2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 6329196808200/(1x1890)
LCM = 6329196808200/1890
LCM = 3348781380
Thus, we can understand that the LCM of 599,493,630,105,324 is 3348781380.
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FAQs on LCM of 599, 493, 630, 105, 324
1. What is the LCM of 599, 493, 630, 105, 324?
Answer: LCM of 599, 493, 630, 105, 324 is 3348781380.
2. How to calculate the LCM of 599, 493, 630, 105, 324?
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 599, 493, 630, 105, 324.
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}.