LCM of 403, 789, 284, 442, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 789, 284, 442, 568 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 403, 789, 284, 442, 568. So, keep reading to learn more.
Given numbers are 403,789,284,442,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,789,284,442,568 is 3070289352.
Find LCM of 403,789,284,442,568 with Prime Factorization
| 2 | 403, 789, 284, 442, 568 |
| 2 | 403, 789, 142, 221, 284 |
| 13 | 403, 789, 71, 221, 142 |
| 71 | 31, 789, 71, 17, 142 |
| 31, 789, 1, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 71 x 31 x 789 x 1 x 17 x 2 = 3070289352
Therefore, the lowest common multiple of 403,789,284,442,568 is 3070289352.
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.
403 x 789 x 284 x 442 x 568 = 22671016575168
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.
403 : 1, 13, 31, 403
789 : 1, 3, 263, 789
284 : 1, 2, 4, 71, 142, 284
442 : 1, 2, 13, 17, 26, 34, 221, 442
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,789,284,442,568, is 1.
Now, the common factors can be found like this.
403:13x 31
789:3x 263
284:2x 2x 71
442:2x 13x 17
568:2x 2x 2x 71
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 13x 71 = 7384
Therefore, the value for common factors is 7384.
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 = 22671016575168/(1x7384)
LCM = 22671016575168/7384
LCM = 3070289352
Thus, we can understand that the LCM of 403,789,284,442,568 is 3070289352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 789, 284, 442, 568
1. What is the LCM of 403, 789, 284, 442, 568?
Answer: LCM of 403, 789, 284, 442, 568 is 3070289352.
2. How to calculate the LCM of 403, 789, 284, 442, 568?
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 403, 789, 284, 442, 568.
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}.