Find the LCM of 448, 307, 224, 437, 109 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, 307, 224, 437, 109. So, keep reading to learn more.
Given numbers are 448,307,224,437,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,307,224,437,109 is 6551252288.
Find LCM of 448,307,224,437,109 with Prime Factorization
2 | 448, 307, 224, 437, 109 |
2 | 224, 307, 112, 437, 109 |
2 | 56, 307, 112, 437, 109 |
2 | 28, 307, 56, 437, 109 |
2 | 14, 307, 28, 437, 109 |
7 | 7, 307, 14, 437, 109 |
1, 307, 2, 437, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 1 x 307 x 2 x 437 x 109 = 6551252288
Therefore, the lowest common multiple of 448,307,224,437,109 is 6551252288.
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 307 x 224 x 437 x 109 = 1467480512512
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
307 : 1, 307
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
437 : 1, 19, 23, 437
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,307,224,437,109, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
307:307
224:2x 2x 2x 2x 2x 7
437:19x 23
109:109
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 7 = 224
Therefore, the value for common factors is 224.
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 = 1467480512512/(1x224)
LCM = 1467480512512/224
LCM = 6551252288
Thus, we can understand that the LCM of 448,307,224,437,109 is 6551252288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 307, 224, 437, 109?
Answer: LCM of 448, 307, 224, 437, 109 is 6551252288.
2. How to calculate the LCM of 448, 307, 224, 437, 109?
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, 307, 224, 437, 109.
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}.