Find the LCM of 632, 629, 814, 102, 147 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 632, 629, 814, 102, 147. So, keep reading to learn more.
Given numbers are 632,629,814,102,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,629,814,102,147 is 642802776.
Find LCM of 632,629,814,102,147 with Prime Factorization
2 | 632, 629, 814, 102, 147 |
3 | 316, 629, 407, 51, 147 |
17 | 316, 629, 407, 17, 49 |
37 | 316, 37, 407, 1, 49 |
316, 1, 11, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 37 x 316 x 1 x 11 x 1 x 49 = 642802776
Therefore, the lowest common multiple of 632,629,814,102,147 is 642802776.
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.
632 x 629 x 814 x 102 x 147 = 4851875353248
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
629 : 1, 17, 37, 629
814 : 1, 2, 11, 22, 37, 74, 407, 814
102 : 1, 2, 3, 6, 17, 34, 51, 102
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,629,814,102,147, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
629:17x 37
814:2x 11x 37
102:2x 3x 17
147:3x 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 3x 17x 37 = 7548
Therefore, the value for common factors is 7548.
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 = 4851875353248/(1x7548)
LCM = 4851875353248/7548
LCM = 642802776
Thus, we can understand that the LCM of 632,629,814,102,147 is 642802776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 629, 814, 102, 147?
Answer: LCM of 632, 629, 814, 102, 147 is 642802776.
2. How to calculate the LCM of 632, 629, 814, 102, 147?
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 632, 629, 814, 102, 147.
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}.