Find the LCM of 736, 826, 107, 202, 312 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 736, 826, 107, 202, 312. So, keep reading to learn more.
Given numbers are 736,826,107,202,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,826,107,202,312 is 128114304864.
Find LCM of 736,826,107,202,312 with Prime Factorization
2 | 736, 826, 107, 202, 312 |
2 | 368, 413, 107, 101, 156 |
2 | 184, 413, 107, 101, 78 |
92, 413, 107, 101, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 92 x 413 x 107 x 101 x 39 = 128114304864
Therefore, the lowest common multiple of 736,826,107,202,312 is 128114304864.
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.
736 x 826 x 107 x 202 x 312 = 4099657755648
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
826 : 1, 2, 7, 14, 59, 118, 413, 826
107 : 1, 107
202 : 1, 2, 101, 202
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,826,107,202,312, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
826:2x 7x 59
107:107
202:2x 101
312:2x 2x 2x 3x 13
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 2 = 32
Therefore, the value for common factors is 32.
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 = 4099657755648/(1x32)
LCM = 4099657755648/32
LCM = 128114304864
Thus, we can understand that the LCM of 736,826,107,202,312 is 128114304864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 826, 107, 202, 312?
Answer: LCM of 736, 826, 107, 202, 312 is 128114304864.
2. How to calculate the LCM of 736, 826, 107, 202, 312?
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 736, 826, 107, 202, 312.
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}.