LCM of 609, 731, 348, 960, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 731, 348, 960, 686 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, 731, 348, 960, 686. So, keep reading to learn more.
Given numbers are 609,731,348,960,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,731,348,960,686 is 6980406720.
Find LCM of 609,731,348,960,686 with Prime Factorization
| 2 | 609, 731, 348, 960, 686 |
| 2 | 609, 731, 174, 480, 343 |
| 3 | 609, 731, 87, 240, 343 |
| 7 | 203, 731, 29, 80, 343 |
| 29 | 29, 731, 29, 80, 49 |
| 1, 731, 1, 80, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 1 x 731 x 1 x 80 x 49 = 6980406720
Therefore, the lowest common multiple of 609,731,348,960,686 is 6980406720.
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 731 x 348 x 960 x 686 = 102025624619520
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
731 : 1, 17, 43, 731
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,731,348,960,686, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
731:17x 43
348:2x 2x 3x 29
960:2x 2x 2x 2x 2x 2x 3x 5
686:2x 7x 7x 7
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 3x 3x 7x 29 = 14616
Therefore, the value for common factors is 14616.
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 = 102025624619520/(1x14616)
LCM = 102025624619520/14616
LCM = 6980406720
Thus, we can understand that the LCM of 609,731,348,960,686 is 6980406720.
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FAQs on LCM of 609, 731, 348, 960, 686
1. What is the LCM of 609, 731, 348, 960, 686?
Answer: LCM of 609, 731, 348, 960, 686 is 6980406720.
2. How to calculate the LCM of 609, 731, 348, 960, 686?
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, 731, 348, 960, 686.
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}.