LCM of 573, 341, 829, 576, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 341, 829, 576, 296 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 573, 341, 829, 576, 296. So, keep reading to learn more.
Given numbers are 573,341,829,576,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,341,829,576,296 is 1150711581888.
Find LCM of 573,341,829,576,296 with Prime Factorization
| 2 | 573, 341, 829, 576, 296 |
| 2 | 573, 341, 829, 288, 148 |
| 2 | 573, 341, 829, 144, 74 |
| 3 | 573, 341, 829, 72, 37 |
| 191, 341, 829, 24, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 191 x 341 x 829 x 24 x 37 = 1150711581888
Therefore, the lowest common multiple of 573,341,829,576,296 is 1150711581888.
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.
573 x 341 x 829 x 576 x 296 = 27617077965312
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.
573 : 1, 3, 191, 573
341 : 1, 11, 31, 341
829 : 1, 829
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,341,829,576,296, is 1.
Now, the common factors can be found like this.
573:3x 191
341:11x 31
829:829
576:2x 2x 2x 2x 2x 2x 3x 3
296:2x 2x 2x 37
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 3 = 24
Therefore, the value for common factors is 24.
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 = 27617077965312/(1x24)
LCM = 27617077965312/24
LCM = 1150711581888
Thus, we can understand that the LCM of 573,341,829,576,296 is 1150711581888.
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FAQs on LCM of 573, 341, 829, 576, 296
1. What is the LCM of 573, 341, 829, 576, 296?
Answer: LCM of 573, 341, 829, 576, 296 is 1150711581888.
2. How to calculate the LCM of 573, 341, 829, 576, 296?
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 573, 341, 829, 576, 296.
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}.