LCM of 364, 971, 896, 864, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 971, 896, 864, 658 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 364, 971, 896, 864, 658. So, keep reading to learn more.
Given numbers are 364,971,896,864,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,971,896,864,658 is 14352653952.
Find LCM of 364,971,896,864,658 with Prime Factorization
| 2 | 364, 971, 896, 864, 658 |
| 2 | 182, 971, 448, 432, 329 |
| 2 | 91, 971, 224, 216, 329 |
| 2 | 91, 971, 112, 108, 329 |
| 2 | 91, 971, 56, 54, 329 |
| 7 | 91, 971, 28, 27, 329 |
| 13, 971, 4, 27, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 13 x 971 x 4 x 27 x 47 = 14352653952
Therefore, the lowest common multiple of 364,971,896,864,658 is 14352653952.
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.
364 x 971 x 896 x 864 x 658 = 180039691173888
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
971 : 1, 971
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,971,896,864,658, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
971:971
896:2x 2x 2x 2x 2x 2x 2x 7
864:2x 2x 2x 2x 2x 3x 3x 3
658:2x 7x 47
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 2x 2x 2x 2x 2x 7x 7 = 12544
Therefore, the value for common factors is 12544.
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 = 180039691173888/(1x12544)
LCM = 180039691173888/12544
LCM = 14352653952
Thus, we can understand that the LCM of 364,971,896,864,658 is 14352653952.
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FAQs on LCM of 364, 971, 896, 864, 658
1. What is the LCM of 364, 971, 896, 864, 658?
Answer: LCM of 364, 971, 896, 864, 658 is 14352653952.
2. How to calculate the LCM of 364, 971, 896, 864, 658?
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 364, 971, 896, 864, 658.
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}.