LCM of 620, 792, 655, 207, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 792, 655, 207, 667 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 620, 792, 655, 207, 667. So, keep reading to learn more.
Given numbers are 620,792,655,207,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,792,655,207,667 is 10726400520.
Find LCM of 620,792,655,207,667 with Prime Factorization
| 2 | 620, 792, 655, 207, 667 |
| 2 | 310, 396, 655, 207, 667 |
| 3 | 155, 198, 655, 207, 667 |
| 3 | 155, 66, 655, 69, 667 |
| 5 | 155, 22, 655, 23, 667 |
| 23 | 31, 22, 131, 23, 667 |
| 31, 22, 131, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 31 x 22 x 131 x 1 x 29 = 10726400520
Therefore, the lowest common multiple of 620,792,655,207,667 is 10726400520.
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.
620 x 792 x 655 x 207 x 667 = 44407298152800
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
655 : 1, 5, 131, 655
207 : 1, 3, 9, 23, 69, 207
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,792,655,207,667, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
792:2x 2x 2x 3x 3x 11
655:5x 131
207:3x 3x 23
667:23x 29
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 3x 3x 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 44407298152800/(1x4140)
LCM = 44407298152800/4140
LCM = 10726400520
Thus, we can understand that the LCM of 620,792,655,207,667 is 10726400520.
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FAQs on LCM of 620, 792, 655, 207, 667
1. What is the LCM of 620, 792, 655, 207, 667?
Answer: LCM of 620, 792, 655, 207, 667 is 10726400520.
2. How to calculate the LCM of 620, 792, 655, 207, 667?
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 620, 792, 655, 207, 667.
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}.