Find the LCM of 145, 551, 731, 686, 857 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 145, 551, 731, 686, 857. So, keep reading to learn more.
Given numbers are 145,551,731,686,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,551,731,686,857 is 1183978777310.
Find LCM of 145,551,731,686,857 with Prime Factorization
29 | 145, 551, 731, 686, 857 |
5, 19, 731, 686, 857 |
Multiply the prime numbers at the bottom and the left side.
29 x 5 x 19 x 731 x 686 x 857 = 1183978777310
Therefore, the lowest common multiple of 145,551,731,686,857 is 1183978777310.
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.
145 x 551 x 731 x 686 x 857 = 34335384541990
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.
145 : 1, 5, 29, 145
551 : 1, 19, 29, 551
731 : 1, 17, 43, 731
686 : 1, 2, 7, 14, 49, 98, 343, 686
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,551,731,686,857, is 1.
Now, the common factors can be found like this.
145:5x 29
551:19x 29
731:17x 43
686:2x 7x 7x 7
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 34335384541990/(1x29)
LCM = 34335384541990/29
LCM = 1183978777310
Thus, we can understand that the LCM of 145,551,731,686,857 is 1183978777310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 145, 551, 731, 686, 857?
Answer: LCM of 145, 551, 731, 686, 857 is 1183978777310.
2. How to calculate the LCM of 145, 551, 731, 686, 857?
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 145, 551, 731, 686, 857.
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}.