LCM of 781, 731, 585, 966, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 731, 585, 966, 306 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 781, 731, 585, 966, 306. So, keep reading to learn more.
Given numbers are 781,731,585,966,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,731,585,966,306 is 107542505070.
Find LCM of 781,731,585,966,306 with Prime Factorization
| 2 | 781, 731, 585, 966, 306 |
| 3 | 781, 731, 585, 483, 153 |
| 3 | 781, 731, 195, 161, 51 |
| 17 | 781, 731, 65, 161, 17 |
| 781, 43, 65, 161, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 781 x 43 x 65 x 161 x 1 = 107542505070
Therefore, the lowest common multiple of 781,731,585,966,306 is 107542505070.
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.
781 x 731 x 585 x 966 x 306 = 98724019654260
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.
781 : 1, 11, 71, 781
731 : 1, 17, 43, 731
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,731,585,966,306, is 1.
Now, the common factors can be found like this.
781:11x 71
731:17x 43
585:3x 3x 5x 13
966:2x 3x 7x 23
306:2x 3x 3x 17
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 17 = 918
Therefore, the value for common factors is 918.
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 = 98724019654260/(1x918)
LCM = 98724019654260/918
LCM = 107542505070
Thus, we can understand that the LCM of 781,731,585,966,306 is 107542505070.
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FAQs on LCM of 781, 731, 585, 966, 306
1. What is the LCM of 781, 731, 585, 966, 306?
Answer: LCM of 781, 731, 585, 966, 306 is 107542505070.
2. How to calculate the LCM of 781, 731, 585, 966, 306?
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 781, 731, 585, 966, 306.
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}.