Find the LCM of 460, 420, 438, 815, 476 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 460, 420, 438, 815, 476. So, keep reading to learn more.
Given numbers are 460,420,438,815,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,420,438,815,476 is 1954053780.
Find LCM of 460,420,438,815,476 with Prime Factorization
2 | 460, 420, 438, 815, 476 |
2 | 230, 210, 219, 815, 238 |
3 | 115, 105, 219, 815, 119 |
5 | 115, 35, 73, 815, 119 |
7 | 23, 7, 73, 163, 119 |
23, 1, 73, 163, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 1 x 73 x 163 x 17 = 1954053780
Therefore, the lowest common multiple of 460,420,438,815,476 is 1954053780.
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.
460 x 420 x 438 x 815 x 476 = 32828103504000
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
438 : 1, 2, 3, 6, 73, 146, 219, 438
815 : 1, 5, 163, 815
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,420,438,815,476, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
420:2x 2x 3x 5x 7
438:2x 3x 73
815:5x 163
476:2x 2x 7x 17
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 3x 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 32828103504000/(1x16800)
LCM = 32828103504000/16800
LCM = 1954053780
Thus, we can understand that the LCM of 460,420,438,815,476 is 1954053780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 420, 438, 815, 476?
Answer: LCM of 460, 420, 438, 815, 476 is 1954053780.
2. How to calculate the LCM of 460, 420, 438, 815, 476?
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 460, 420, 438, 815, 476.
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}.