Find the LCM of 983, 552, 352, 642, 506 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 983, 552, 352, 642, 506. So, keep reading to learn more.
Given numbers are 983,552,352,642,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,552,352,642,506 is 2554636128.
Find LCM of 983,552,352,642,506 with Prime Factorization
2 | 983, 552, 352, 642, 506 |
2 | 983, 276, 176, 321, 253 |
2 | 983, 138, 88, 321, 253 |
3 | 983, 69, 44, 321, 253 |
11 | 983, 23, 44, 107, 253 |
23 | 983, 23, 4, 107, 23 |
983, 1, 4, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 23 x 983 x 1 x 4 x 107 x 1 = 2554636128
Therefore, the lowest common multiple of 983,552,352,642,506 is 2554636128.
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.
983 x 552 x 352 x 642 x 506 = 62047002276864
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.
983 : 1, 983
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
642 : 1, 2, 3, 6, 107, 214, 321, 642
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,552,352,642,506, is 1.
Now, the common factors can be found like this.
983:983
552:2x 2x 2x 3x 23
352:2x 2x 2x 2x 2x 11
642:2x 3x 107
506:2x 11x 23
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 3x 11x 23 = 24288
Therefore, the value for common factors is 24288.
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 = 62047002276864/(1x24288)
LCM = 62047002276864/24288
LCM = 2554636128
Thus, we can understand that the LCM of 983,552,352,642,506 is 2554636128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 983, 552, 352, 642, 506?
Answer: LCM of 983, 552, 352, 642, 506 is 2554636128.
2. How to calculate the LCM of 983, 552, 352, 642, 506?
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 983, 552, 352, 642, 506.
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}.