LCM of 422, 418, 640, 646, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 418, 640, 646, 693 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 422, 418, 640, 646, 693. So, keep reading to learn more.
Given numbers are 422,418,640,646,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,418,640,646,693 is 30227218560.
Find LCM of 422,418,640,646,693 with Prime Factorization
| 2 | 422, 418, 640, 646, 693 |
| 11 | 211, 209, 320, 323, 693 |
| 19 | 211, 19, 320, 323, 63 |
| 211, 1, 320, 17, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 211 x 1 x 320 x 17 x 63 = 30227218560
Therefore, the lowest common multiple of 422,418,640,646,693 is 30227218560.
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.
422 x 418 x 640 x 646 x 693 = 50539909432320
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.
422 : 1, 2, 211, 422
418 : 1, 2, 11, 19, 22, 38, 209, 418
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
646 : 1, 2, 17, 19, 34, 38, 323, 646
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,418,640,646,693, is 1.
Now, the common factors can be found like this.
422:2x 211
418:2x 11x 19
640:2x 2x 2x 2x 2x 2x 2x 5
646:2x 17x 19
693:3x 3x 7x 11
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 50539909432320/(1x1672)
LCM = 50539909432320/1672
LCM = 30227218560
Thus, we can understand that the LCM of 422,418,640,646,693 is 30227218560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 422, 418, 640, 646, 693
1. What is the LCM of 422, 418, 640, 646, 693?
Answer: LCM of 422, 418, 640, 646, 693 is 30227218560.
2. How to calculate the LCM of 422, 418, 640, 646, 693?
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 422, 418, 640, 646, 693.
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}.