LCM of 812, 484, 423, 947, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 484, 423, 947, 518 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 812, 484, 423, 947, 518. So, keep reading to learn more.
Given numbers are 812,484,423,947,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,484,423,947,518 is 1456241723244.
Find LCM of 812,484,423,947,518 with Prime Factorization
| 2 | 812, 484, 423, 947, 518 |
| 2 | 406, 242, 423, 947, 259 |
| 7 | 203, 121, 423, 947, 259 |
| 29, 121, 423, 947, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 121 x 423 x 947 x 37 = 1456241723244
Therefore, the lowest common multiple of 812,484,423,947,518 is 1456241723244.
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.
812 x 484 x 423 x 947 x 518 = 81549536501664
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
423 : 1, 3, 9, 47, 141, 423
947 : 1, 947
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,484,423,947,518, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
484:2x 2x 11x 11
423:3x 3x 47
947:947
518:2x 7x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 81549536501664/(1x56)
LCM = 81549536501664/56
LCM = 1456241723244
Thus, we can understand that the LCM of 812,484,423,947,518 is 1456241723244.
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FAQs on LCM of 812, 484, 423, 947, 518
1. What is the LCM of 812, 484, 423, 947, 518?
Answer: LCM of 812, 484, 423, 947, 518 is 1456241723244.
2. How to calculate the LCM of 812, 484, 423, 947, 518?
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 812, 484, 423, 947, 518.
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}.