Find the LCM of 448, 654, 819, 377 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 448, 654, 819, 377. So, keep reading to learn more.
Given numbers are 448,654,819,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,654,819,377 is 165686976.
Find LCM of 448,654,819,377 with Prime Factorization
2 | 448, 654, 819, 377 |
3 | 224, 327, 819, 377 |
7 | 224, 109, 273, 377 |
13 | 32, 109, 39, 377 |
32, 109, 3, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 32 x 109 x 3 x 29 = 165686976
Therefore, the lowest common multiple of 448,654,819,377 is 165686976.
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.
448 x 654 x 819 x 377 = 90465088896
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
654 : 1, 2, 3, 6, 109, 218, 327, 654
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,654,819,377, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
654:2x 3x 109
819:3x 3x 7x 13
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 90465088896/(1x546)
LCM = 90465088896/546
LCM = 165686976
Thus, we can understand that the LCM of 448,654,819,377 is 165686976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 654, 819, 377?
Answer: LCM of 448, 654, 819, 377 is 165686976.
2. How to calculate the LCM of 448, 654, 819, 377?
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 448, 654, 819, 377.
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}.