LCM of 518, 126, 280, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 126, 280, 832 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 518, 126, 280, 832. So, keep reading to learn more.
Given numbers are 518,126,280,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,126,280,832 is 9696960.
Find LCM of 518,126,280,832 with Prime Factorization
| 2 | 518, 126, 280, 832 |
| 2 | 259, 63, 140, 416 |
| 2 | 259, 63, 70, 208 |
| 7 | 259, 63, 35, 104 |
| 37, 9, 5, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 37 x 9 x 5 x 104 = 9696960
Therefore, the lowest common multiple of 518,126,280,832 is 9696960.
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.
518 x 126 x 280 x 832 = 15204833280
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,126,280,832, is 2.
Now, the common factors can be found like this.
518:2x 7x 37
126:2x 3x 3x 7
280:2x 2x 2x 5x 7
832:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 15204833280/(2x784)
LCM = 15204833280/1568
LCM = 9696960
Thus, we can understand that the LCM of 518,126,280,832 is 9696960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 518, 126, 280, 832
1. What is the LCM of 518, 126, 280, 832?
Answer: LCM of 518, 126, 280, 832 is 9696960.
2. How to calculate the LCM of 518, 126, 280, 832?
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 518, 126, 280, 832.
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}.