LCM of 177, 480, 436, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 480, 436, 414 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 177, 480, 436, 414. So, keep reading to learn more.
Given numbers are 177,480,436,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,480,436,414 is 212994720.
Find LCM of 177,480,436,414 with Prime Factorization
| 2 | 177, 480, 436, 414 |
| 2 | 177, 240, 218, 207 |
| 3 | 177, 120, 109, 207 |
| 59, 40, 109, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 40 x 109 x 69 = 212994720
Therefore, the lowest common multiple of 177,480,436,414 is 212994720.
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.
177 x 480 x 436 x 414 = 15335619840
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.
177 : 1, 3, 59, 177
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
436 : 1, 2, 4, 109, 218, 436
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,480,436,414, is 1.
Now, the common factors can be found like this.
177:3x 59
480:2x 2x 2x 2x 2x 3x 5
436:2x 2x 109
414:2x 3x 3x 23
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 3 = 72
Therefore, the value for common factors is 72.
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 = 15335619840/(1x72)
LCM = 15335619840/72
LCM = 212994720
Thus, we can understand that the LCM of 177,480,436,414 is 212994720.
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FAQs on LCM of 177, 480, 436, 414
1. What is the LCM of 177, 480, 436, 414?
Answer: LCM of 177, 480, 436, 414 is 212994720.
2. How to calculate the LCM of 177, 480, 436, 414?
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 177, 480, 436, 414.
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}.