LCM of 456, 513, 686, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 513, 686, 107 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 456, 513, 686, 107. So, keep reading to learn more.
Given numbers are 456,513,686,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,513,686,107 is 150620904.
Find LCM of 456,513,686,107 with Prime Factorization
| 2 | 456, 513, 686, 107 |
| 3 | 228, 513, 343, 107 |
| 19 | 76, 171, 343, 107 |
| 4, 9, 343, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 4 x 9 x 343 x 107 = 150620904
Therefore, the lowest common multiple of 456,513,686,107 is 150620904.
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.
456 x 513 x 686 x 107 = 17170783056
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
513 : 1, 3, 9, 19, 27, 57, 171, 513
686 : 1, 2, 7, 14, 49, 98, 343, 686
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,513,686,107, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
513:3x 3x 3x 19
686:2x 7x 7x 7
107:107
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 19 = 114
Therefore, the value for common factors is 114.
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 = 17170783056/(1x114)
LCM = 17170783056/114
LCM = 150620904
Thus, we can understand that the LCM of 456,513,686,107 is 150620904.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 456, 513, 686, 107
1. What is the LCM of 456, 513, 686, 107?
Answer: LCM of 456, 513, 686, 107 is 150620904.
2. How to calculate the LCM of 456, 513, 686, 107?
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 456, 513, 686, 107.
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}.