LCM of 447, 480, 357, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 480, 357, 976 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 447, 480, 357, 976. So, keep reading to learn more.
Given numbers are 447,480,357,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,480,357,976 is 519163680.
Find LCM of 447,480,357,976 with Prime Factorization
| 2 | 447, 480, 357, 976 |
| 2 | 447, 240, 357, 488 |
| 2 | 447, 120, 357, 244 |
| 2 | 447, 60, 357, 122 |
| 3 | 447, 30, 357, 61 |
| 149, 10, 119, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 149 x 10 x 119 x 61 = 519163680
Therefore, the lowest common multiple of 447,480,357,976 is 519163680.
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.
447 x 480 x 357 x 976 = 74759569920
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.
447 : 1, 3, 149, 447
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
357 : 1, 3, 7, 17, 21, 51, 119, 357
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,480,357,976, is 1.
Now, the common factors can be found like this.
447:3x 149
480:2x 2x 2x 2x 2x 3x 5
357:3x 7x 17
976:2x 2x 2x 2x 61
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 74759569920/(1x144)
LCM = 74759569920/144
LCM = 519163680
Thus, we can understand that the LCM of 447,480,357,976 is 519163680.
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FAQs on LCM of 447, 480, 357, 976
1. What is the LCM of 447, 480, 357, 976?
Answer: LCM of 447, 480, 357, 976 is 519163680.
2. How to calculate the LCM of 447, 480, 357, 976?
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 447, 480, 357, 976.
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}.