LCM of 609, 696, 708, 659, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 696, 708, 659, 388 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 609, 696, 708, 659, 388. So, keep reading to learn more.
Given numbers are 609,696,708,659,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,696,708,659,388 is 18374538504.
Find LCM of 609,696,708,659,388 with Prime Factorization
| 2 | 609, 696, 708, 659, 388 |
| 2 | 609, 348, 354, 659, 194 |
| 3 | 609, 174, 177, 659, 97 |
| 29 | 203, 58, 59, 659, 97 |
| 7, 2, 59, 659, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 7 x 2 x 59 x 659 x 97 = 18374538504
Therefore, the lowest common multiple of 609,696,708,659,388 is 18374538504.
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.
609 x 696 x 708 x 659 x 388 = 76732072792704
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
659 : 1, 659
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,696,708,659,388, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
696:2x 2x 2x 3x 29
708:2x 2x 3x 59
659:659
388:2x 2x 97
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 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 76732072792704/(1x4176)
LCM = 76732072792704/4176
LCM = 18374538504
Thus, we can understand that the LCM of 609,696,708,659,388 is 18374538504.
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FAQs on LCM of 609, 696, 708, 659, 388
1. What is the LCM of 609, 696, 708, 659, 388?
Answer: LCM of 609, 696, 708, 659, 388 is 18374538504.
2. How to calculate the LCM of 609, 696, 708, 659, 388?
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 609, 696, 708, 659, 388.
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}.