LCM of 463, 329, 463, 947, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 329, 463, 947, 909 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 463, 329, 463, 947, 909. So, keep reading to learn more.
Given numbers are 463,329,463,947,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,329,463,947,909 is 131126585121.
Find LCM of 463,329,463,947,909 with Prime Factorization
| 463 | 463, 329, 463, 947, 909 |
| 1, 329, 1, 947, 909 |
Multiply the prime numbers at the bottom and the left side.
463 x 1 x 329 x 1 x 947 x 909 = 131126585121
Therefore, the lowest common multiple of 463,329,463,947,909 is 131126585121.
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.
463 x 329 x 463 x 947 x 909 = 60711608911023
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.
463 : 1, 463
329 : 1, 7, 47, 329
463 : 1, 463
947 : 1, 947
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,329,463,947,909, is 1.
Now, the common factors can be found like this.
463:463
329:7x 47
463:463
947:947
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
463 = 463
Therefore, the value for common factors is 463.
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 = 60711608911023/(1x463)
LCM = 60711608911023/463
LCM = 131126585121
Thus, we can understand that the LCM of 463,329,463,947,909 is 131126585121.
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FAQs on LCM of 463, 329, 463, 947, 909
1. What is the LCM of 463, 329, 463, 947, 909?
Answer: LCM of 463, 329, 463, 947, 909 is 131126585121.
2. How to calculate the LCM of 463, 329, 463, 947, 909?
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 463, 329, 463, 947, 909.
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}.