LCM of 585, 806, 968, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 806, 968, 372 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 585, 806, 968, 372. So, keep reading to learn more.
Given numbers are 585,806,968,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,806,968,372 is 17554680.
Find LCM of 585,806,968,372 with Prime Factorization
| 2 | 585, 806, 968, 372 |
| 2 | 585, 403, 484, 186 |
| 3 | 585, 403, 242, 93 |
| 13 | 195, 403, 242, 31 |
| 31 | 15, 31, 242, 31 |
| 15, 1, 242, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 31 x 15 x 1 x 242 x 1 = 17554680
Therefore, the lowest common multiple of 585,806,968,372 is 17554680.
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.
585 x 806 x 968 x 372 = 169788864960
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
806 : 1, 2, 13, 26, 31, 62, 403, 806
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,806,968,372, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
806:2x 13x 31
968:2x 2x 2x 11x 11
372:2x 2x 3x 31
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 13x 31 = 9672
Therefore, the value for common factors is 9672.
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 = 169788864960/(1x9672)
LCM = 169788864960/9672
LCM = 17554680
Thus, we can understand that the LCM of 585,806,968,372 is 17554680.
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FAQs on LCM of 585, 806, 968, 372
1. What is the LCM of 585, 806, 968, 372?
Answer: LCM of 585, 806, 968, 372 is 17554680.
2. How to calculate the LCM of 585, 806, 968, 372?
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 585, 806, 968, 372.
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}.