LCM of 652, 736, 418, 667, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 736, 418, 667, 822 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 652, 736, 418, 667, 822. So, keep reading to learn more.
Given numbers are 652,736,418,667,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,736,418,667,822 is 298848805728.
Find LCM of 652,736,418,667,822 with Prime Factorization
| 2 | 652, 736, 418, 667, 822 |
| 2 | 326, 368, 209, 667, 411 |
| 23 | 163, 184, 209, 667, 411 |
| 163, 8, 209, 29, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 163 x 8 x 209 x 29 x 411 = 298848805728
Therefore, the lowest common multiple of 652,736,418,667,822 is 298848805728.
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.
652 x 736 x 418 x 667 x 822 = 109976360507904
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.
652 : 1, 2, 4, 163, 326, 652
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
418 : 1, 2, 11, 19, 22, 38, 209, 418
667 : 1, 23, 29, 667
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,736,418,667,822, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
736:2x 2x 2x 2x 2x 23
418:2x 11x 19
667:23x 29
822:2x 3x 137
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 23 = 368
Therefore, the value for common factors is 368.
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 = 109976360507904/(1x368)
LCM = 109976360507904/368
LCM = 298848805728
Thus, we can understand that the LCM of 652,736,418,667,822 is 298848805728.
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FAQs on LCM of 652, 736, 418, 667, 822
1. What is the LCM of 652, 736, 418, 667, 822?
Answer: LCM of 652, 736, 418, 667, 822 is 298848805728.
2. How to calculate the LCM of 652, 736, 418, 667, 822?
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 652, 736, 418, 667, 822.
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}.