LCM of 704, 809, 506, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 809, 506, 476 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 704, 809, 506, 476. So, keep reading to learn more.
Given numbers are 704,809,506,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,809,506,476 is 1558820032.
Find LCM of 704,809,506,476 with Prime Factorization
| 2 | 704, 809, 506, 476 |
| 2 | 352, 809, 253, 238 |
| 11 | 176, 809, 253, 119 |
| 16, 809, 23, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 809 x 23 x 119 = 1558820032
Therefore, the lowest common multiple of 704,809,506,476 is 1558820032.
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.
704 x 809 x 506 x 476 = 137176162816
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
809 : 1, 809
506 : 1, 2, 11, 22, 23, 46, 253, 506
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,809,506,476, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
809:809
506:2x 11x 23
476:2x 2x 7x 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 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 137176162816/(1x88)
LCM = 137176162816/88
LCM = 1558820032
Thus, we can understand that the LCM of 704,809,506,476 is 1558820032.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 704, 809, 506, 476
1. What is the LCM of 704, 809, 506, 476?
Answer: LCM of 704, 809, 506, 476 is 1558820032.
2. How to calculate the LCM of 704, 809, 506, 476?
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 704, 809, 506, 476.
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}.