LCM of 371, 329, 512, 960, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 329, 512, 960, 947 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 371, 329, 512, 960, 947. So, keep reading to learn more.
Given numbers are 371,329,512,960,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,329,512,960,947 is 126818603520.
Find LCM of 371,329,512,960,947 with Prime Factorization
| 2 | 371, 329, 512, 960, 947 |
| 2 | 371, 329, 256, 480, 947 |
| 2 | 371, 329, 128, 240, 947 |
| 2 | 371, 329, 64, 120, 947 |
| 2 | 371, 329, 32, 60, 947 |
| 2 | 371, 329, 16, 30, 947 |
| 7 | 371, 329, 8, 15, 947 |
| 53, 47, 8, 15, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 7 x 53 x 47 x 8 x 15 x 947 = 126818603520
Therefore, the lowest common multiple of 371,329,512,960,947 is 126818603520.
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.
371 x 329 x 512 x 960 x 947 = 56814734376960
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.
371 : 1, 7, 53, 371
329 : 1, 7, 47, 329
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,329,512,960,947, is 1.
Now, the common factors can be found like this.
371:7x 53
329:7x 47
512:2x 2x 2x 2x 2x 2x 2x 2x 2
960:2x 2x 2x 2x 2x 2x 3x 5
947:947
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 7 = 448
Therefore, the value for common factors is 448.
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 = 56814734376960/(1x448)
LCM = 56814734376960/448
LCM = 126818603520
Thus, we can understand that the LCM of 371,329,512,960,947 is 126818603520.
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FAQs on LCM of 371, 329, 512, 960, 947
1. What is the LCM of 371, 329, 512, 960, 947?
Answer: LCM of 371, 329, 512, 960, 947 is 126818603520.
2. How to calculate the LCM of 371, 329, 512, 960, 947?
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 371, 329, 512, 960, 947.
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}.