LCM of 368, 787, 598, 325, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 787, 598, 325, 585 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 368, 787, 598, 325, 585. So, keep reading to learn more.
Given numbers are 368,787,598,325,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,787,598,325,585 is 847126800.
Find LCM of 368,787,598,325,585 with Prime Factorization
| 2 | 368, 787, 598, 325, 585 |
| 5 | 184, 787, 299, 325, 585 |
| 13 | 184, 787, 299, 65, 117 |
| 23 | 184, 787, 23, 5, 9 |
| 8, 787, 1, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 23 x 8 x 787 x 1 x 5 x 9 = 847126800
Therefore, the lowest common multiple of 368,787,598,325,585 is 847126800.
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.
368 x 787 x 598 x 325 x 585 = 32927818716000
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
787 : 1, 787
598 : 1, 2, 13, 23, 26, 46, 299, 598
325 : 1, 5, 13, 25, 65, 325
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,787,598,325,585, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
787:787
598:2x 13x 23
325:5x 5x 13
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13x 23 = 38870
Therefore, the value for common factors is 38870.
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 = 32927818716000/(1x38870)
LCM = 32927818716000/38870
LCM = 847126800
Thus, we can understand that the LCM of 368,787,598,325,585 is 847126800.
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FAQs on LCM of 368, 787, 598, 325, 585
1. What is the LCM of 368, 787, 598, 325, 585?
Answer: LCM of 368, 787, 598, 325, 585 is 847126800.
2. How to calculate the LCM of 368, 787, 598, 325, 585?
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 368, 787, 598, 325, 585.
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}.