LCM of 408, 176, 450, 566, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 176, 450, 566, 724 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 408, 176, 450, 566, 724. So, keep reading to learn more.
Given numbers are 408,176,450,566,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,176,450,566,724 is 34483323600.
Find LCM of 408,176,450,566,724 with Prime Factorization
| 2 | 408, 176, 450, 566, 724 |
| 2 | 204, 88, 225, 283, 362 |
| 2 | 102, 44, 225, 283, 181 |
| 3 | 51, 22, 225, 283, 181 |
| 17, 22, 75, 283, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 22 x 75 x 283 x 181 = 34483323600
Therefore, the lowest common multiple of 408,176,450,566,724 is 34483323600.
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.
408 x 176 x 450 x 566 x 724 = 13241596262400
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
566 : 1, 2, 283, 566
724 : 1, 2, 4, 181, 362, 724
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,176,450,566,724, is 2.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
176:2x 2x 2x 2x 11
450:2x 3x 3x 5x 5
566:2x 283
724:2x 2x 181
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 3 = 192
Therefore, the value for common factors is 192.
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 = 13241596262400/(2x192)
LCM = 13241596262400/384
LCM = 34483323600
Thus, we can understand that the LCM of 408,176,450,566,724 is 34483323600.
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FAQs on LCM of 408, 176, 450, 566, 724
1. What is the LCM of 408, 176, 450, 566, 724?
Answer: LCM of 408, 176, 450, 566, 724 is 34483323600.
2. How to calculate the LCM of 408, 176, 450, 566, 724?
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 408, 176, 450, 566, 724.
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}.