LCM of 406, 713, 420, 323, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 713, 420, 323, 697 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 406, 713, 420, 323, 697. So, keep reading to learn more.
Given numbers are 406,713,420,323,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,713,420,323,697 is 115006714620.
Find LCM of 406,713,420,323,697 with Prime Factorization
| 2 | 406, 713, 420, 323, 697 |
| 7 | 203, 713, 210, 323, 697 |
| 17 | 29, 713, 30, 323, 697 |
| 29, 713, 30, 19, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 29 x 713 x 30 x 19 x 41 = 115006714620
Therefore, the lowest common multiple of 406,713,420,323,697 is 115006714620.
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.
406 x 713 x 420 x 323 x 697 = 27371598079560
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
713 : 1, 23, 31, 713
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
323 : 1, 17, 19, 323
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,713,420,323,697, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
713:23x 31
420:2x 2x 3x 5x 7
323:17x 19
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 27371598079560/(1x238)
LCM = 27371598079560/238
LCM = 115006714620
Thus, we can understand that the LCM of 406,713,420,323,697 is 115006714620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 406, 713, 420, 323, 697
1. What is the LCM of 406, 713, 420, 323, 697?
Answer: LCM of 406, 713, 420, 323, 697 is 115006714620.
2. How to calculate the LCM of 406, 713, 420, 323, 697?
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 406, 713, 420, 323, 697.
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}.