LCM of 724, 208, 819, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 208, 819, 704 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 724, 208, 819, 704. So, keep reading to learn more.
Given numbers are 724,208,819,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,208,819,704 is 104360256.
Find LCM of 724,208,819,704 with Prime Factorization
| 2 | 724, 208, 819, 704 |
| 2 | 362, 104, 819, 352 |
| 2 | 181, 52, 819, 176 |
| 2 | 181, 26, 819, 88 |
| 13 | 181, 13, 819, 44 |
| 181, 1, 63, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 181 x 1 x 63 x 44 = 104360256
Therefore, the lowest common multiple of 724,208,819,704 is 104360256.
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.
724 x 208 x 819 x 704 = 86827732992
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.
724 : 1, 2, 4, 181, 362, 724
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,208,819,704, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
208:2x 2x 2x 2x 13
819:3x 3x 7x 13
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 86827732992/(1x832)
LCM = 86827732992/832
LCM = 104360256
Thus, we can understand that the LCM of 724,208,819,704 is 104360256.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 208, 819, 704
1. What is the LCM of 724, 208, 819, 704?
Answer: LCM of 724, 208, 819, 704 is 104360256.
2. How to calculate the LCM of 724, 208, 819, 704?
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 724, 208, 819, 704.
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}.