Find the LCM of 848, 832, 130, 946, 463 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 848, 832, 130, 946, 463. So, keep reading to learn more.
Given numbers are 848,832,130,946,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,832,130,946,463 is 48284899520.
Find LCM of 848,832,130,946,463 with Prime Factorization
2 | 848, 832, 130, 946, 463 |
2 | 424, 416, 65, 473, 463 |
2 | 212, 208, 65, 473, 463 |
2 | 106, 104, 65, 473, 463 |
13 | 53, 52, 65, 473, 463 |
53, 4, 5, 473, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 53 x 4 x 5 x 473 x 463 = 48284899520
Therefore, the lowest common multiple of 848,832,130,946,463 is 48284899520.
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.
848 x 832 x 130 x 946 x 463 = 40173036400640
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
130 : 1, 2, 5, 10, 13, 26, 65, 130
946 : 1, 2, 11, 22, 43, 86, 473, 946
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,832,130,946,463, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
832:2x 2x 2x 2x 2x 2x 13
130:2x 5x 13
946:2x 11x 43
463:463
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 13 = 832
Therefore, the value for common factors is 832.
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 = 40173036400640/(1x832)
LCM = 40173036400640/832
LCM = 48284899520
Thus, we can understand that the LCM of 848,832,130,946,463 is 48284899520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 832, 130, 946, 463?
Answer: LCM of 848, 832, 130, 946, 463 is 48284899520.
2. How to calculate the LCM of 848, 832, 130, 946, 463?
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 848, 832, 130, 946, 463.
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}.