LCM of 668, 931, 585, 954, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 931, 585, 954, 273 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 668, 931, 585, 954, 273. So, keep reading to learn more.
Given numbers are 668,931,585,954,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,931,585,954,273 is 19282257540.
Find LCM of 668,931,585,954,273 with Prime Factorization
| 2 | 668, 931, 585, 954, 273 |
| 3 | 334, 931, 585, 477, 273 |
| 3 | 334, 931, 195, 159, 91 |
| 7 | 334, 931, 65, 53, 91 |
| 13 | 334, 133, 65, 53, 13 |
| 334, 133, 5, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 334 x 133 x 5 x 53 x 1 = 19282257540
Therefore, the lowest common multiple of 668,931,585,954,273 is 19282257540.
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.
668 x 931 x 585 x 954 x 273 = 94753013551560
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.
668 : 1, 2, 4, 167, 334, 668
931 : 1, 7, 19, 49, 133, 931
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,931,585,954,273, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
931:7x 7x 19
585:3x 3x 5x 13
954:2x 3x 3x 53
273:3x 7x 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 3x 3x 3x 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 94753013551560/(1x4914)
LCM = 94753013551560/4914
LCM = 19282257540
Thus, we can understand that the LCM of 668,931,585,954,273 is 19282257540.
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FAQs on LCM of 668, 931, 585, 954, 273
1. What is the LCM of 668, 931, 585, 954, 273?
Answer: LCM of 668, 931, 585, 954, 273 is 19282257540.
2. How to calculate the LCM of 668, 931, 585, 954, 273?
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 668, 931, 585, 954, 273.
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}.