LCM of 174, 207, 829, 684, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 207, 829, 684, 480 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 174, 207, 829, 684, 480. So, keep reading to learn more.
Given numbers are 174,207,829,684,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,207,829,684,480 is 15128520480.
Find LCM of 174,207,829,684,480 with Prime Factorization
| 2 | 174, 207, 829, 684, 480 |
| 2 | 87, 207, 829, 342, 240 |
| 3 | 87, 207, 829, 171, 120 |
| 3 | 29, 69, 829, 57, 40 |
| 29, 23, 829, 19, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 23 x 829 x 19 x 40 = 15128520480
Therefore, the lowest common multiple of 174,207,829,684,480 is 15128520480.
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.
174 x 207 x 829 x 684 x 480 = 9803281271040
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
207 : 1, 3, 9, 23, 69, 207
829 : 1, 829
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,207,829,684,480, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
207:3x 3x 23
829:829
684:2x 2x 3x 3x 19
480:2x 2x 2x 2x 2x 3x 5
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 9803281271040/(1x648)
LCM = 9803281271040/648
LCM = 15128520480
Thus, we can understand that the LCM of 174,207,829,684,480 is 15128520480.
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FAQs on LCM of 174, 207, 829, 684, 480
1. What is the LCM of 174, 207, 829, 684, 480?
Answer: LCM of 174, 207, 829, 684, 480 is 15128520480.
2. How to calculate the LCM of 174, 207, 829, 684, 480?
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 174, 207, 829, 684, 480.
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}.