LCM of 731, 108, 277, 585, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 108, 277, 585, 516 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 731, 108, 277, 585, 516. So, keep reading to learn more.
Given numbers are 731,108,277,585,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,108,277,585,516 is 1421458740.
Find LCM of 731,108,277,585,516 with Prime Factorization
| 2 | 731, 108, 277, 585, 516 |
| 2 | 731, 54, 277, 585, 258 |
| 3 | 731, 27, 277, 585, 129 |
| 3 | 731, 9, 277, 195, 43 |
| 43 | 731, 3, 277, 65, 43 |
| 17, 3, 277, 65, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 43 x 17 x 3 x 277 x 65 x 1 = 1421458740
Therefore, the lowest common multiple of 731,108,277,585,516 is 1421458740.
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.
731 x 108 x 277 x 585 x 516 = 6601254388560
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.
731 : 1, 17, 43, 731
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
277 : 1, 277
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,108,277,585,516, is 1.
Now, the common factors can be found like this.
731:17x 43
108:2x 2x 3x 3x 3
277:277
585:3x 3x 5x 13
516:2x 2x 3x 43
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 3x 3x 3x 43 = 4644
Therefore, the value for common factors is 4644.
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 = 6601254388560/(1x4644)
LCM = 6601254388560/4644
LCM = 1421458740
Thus, we can understand that the LCM of 731,108,277,585,516 is 1421458740.
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FAQs on LCM of 731, 108, 277, 585, 516
1. What is the LCM of 731, 108, 277, 585, 516?
Answer: LCM of 731, 108, 277, 585, 516 is 1421458740.
2. How to calculate the LCM of 731, 108, 277, 585, 516?
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 731, 108, 277, 585, 516.
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}.