LCM of 437, 320, 484, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 320, 484, 513 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 437, 320, 484, 513. So, keep reading to learn more.
Given numbers are 437,320,484,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,320,484,513 is 456857280.
Find LCM of 437,320,484,513 with Prime Factorization
| 2 | 437, 320, 484, 513 |
| 2 | 437, 160, 242, 513 |
| 19 | 437, 80, 121, 513 |
| 23, 80, 121, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 80 x 121 x 27 = 456857280
Therefore, the lowest common multiple of 437,320,484,513 is 456857280.
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.
437 x 320 x 484 x 513 = 34721153280
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.
437 : 1, 19, 23, 437
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,320,484,513, is 1.
Now, the common factors can be found like this.
437:19x 23
320:2x 2x 2x 2x 2x 2x 5
484:2x 2x 11x 11
513:3x 3x 3x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 34721153280/(1x76)
LCM = 34721153280/76
LCM = 456857280
Thus, we can understand that the LCM of 437,320,484,513 is 456857280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 320, 484, 513
1. What is the LCM of 437, 320, 484, 513?
Answer: LCM of 437, 320, 484, 513 is 456857280.
2. How to calculate the LCM of 437, 320, 484, 513?
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 437, 320, 484, 513.
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}.