LCM of 303, 824, 515, 768, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 824, 515, 768, 353 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 303, 824, 515, 768, 353. So, keep reading to learn more.
Given numbers are 303,824,515,768,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,824,515,768,353 is 14101474560.
Find LCM of 303,824,515,768,353 with Prime Factorization
| 2 | 303, 824, 515, 768, 353 |
| 2 | 303, 412, 515, 384, 353 |
| 2 | 303, 206, 515, 192, 353 |
| 3 | 303, 103, 515, 96, 353 |
| 103 | 101, 103, 515, 32, 353 |
| 101, 1, 5, 32, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 103 x 101 x 1 x 5 x 32 x 353 = 14101474560
Therefore, the lowest common multiple of 303,824,515,768,353 is 14101474560.
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.
303 x 824 x 515 x 768 x 353 = 34858845112320
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.
303 : 1, 3, 101, 303
824 : 1, 2, 4, 8, 103, 206, 412, 824
515 : 1, 5, 103, 515
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,824,515,768,353, is 1.
Now, the common factors can be found like this.
303:3x 101
824:2x 2x 2x 103
515:5x 103
768:2x 2x 2x 2x 2x 2x 2x 2x 3
353:353
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 3x 103 = 2472
Therefore, the value for common factors is 2472.
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 = 34858845112320/(1x2472)
LCM = 34858845112320/2472
LCM = 14101474560
Thus, we can understand that the LCM of 303,824,515,768,353 is 14101474560.
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FAQs on LCM of 303, 824, 515, 768, 353
1. What is the LCM of 303, 824, 515, 768, 353?
Answer: LCM of 303, 824, 515, 768, 353 is 14101474560.
2. How to calculate the LCM of 303, 824, 515, 768, 353?
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 303, 824, 515, 768, 353.
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}.