LCM of 160, 449, 893, 784, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 449, 893, 784, 343 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 160, 449, 893, 784, 343. So, keep reading to learn more.
Given numbers are 160,449,893,784,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,449,893,784,343 is 22004520160.
Find LCM of 160,449,893,784,343 with Prime Factorization
| 2 | 160, 449, 893, 784, 343 |
| 2 | 80, 449, 893, 392, 343 |
| 2 | 40, 449, 893, 196, 343 |
| 2 | 20, 449, 893, 98, 343 |
| 7 | 10, 449, 893, 49, 343 |
| 7 | 10, 449, 893, 7, 49 |
| 10, 449, 893, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 10 x 449 x 893 x 1 x 7 = 22004520160
Therefore, the lowest common multiple of 160,449,893,784,343 is 22004520160.
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.
160 x 449 x 893 x 784 x 343 = 17251543805440
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
449 : 1, 449
893 : 1, 19, 47, 893
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,449,893,784,343, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
449:449
893:19x 47
784:2x 2x 2x 2x 7x 7
343:7x 7x 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 2x 2x 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 17251543805440/(1x784)
LCM = 17251543805440/784
LCM = 22004520160
Thus, we can understand that the LCM of 160,449,893,784,343 is 22004520160.
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FAQs on LCM of 160, 449, 893, 784, 343
1. What is the LCM of 160, 449, 893, 784, 343?
Answer: LCM of 160, 449, 893, 784, 343 is 22004520160.
2. How to calculate the LCM of 160, 449, 893, 784, 343?
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 160, 449, 893, 784, 343.
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}.