Find the LCM of 319, 362, 484, 924, 786 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 319, 362, 484, 924, 786. So, keep reading to learn more.
Given numbers are 319,362,484,924,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,362,484,924,786 is 6988959516.
Find LCM of 319,362,484,924,786 with Prime Factorization
2 | 319, 362, 484, 924, 786 |
2 | 319, 181, 242, 462, 393 |
3 | 319, 181, 121, 231, 393 |
11 | 319, 181, 121, 77, 131 |
29, 181, 11, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 181 x 11 x 7 x 131 = 6988959516
Therefore, the lowest common multiple of 319,362,484,924,786 is 6988959516.
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.
319 x 362 x 484 x 924 x 786 = 40591876868928
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.
319 : 1, 11, 29, 319
362 : 1, 2, 181, 362
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,362,484,924,786, is 1.
Now, the common factors can be found like this.
319:11x 29
362:2x 181
484:2x 2x 11x 11
924:2x 2x 3x 7x 11
786:2x 3x 131
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 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 40591876868928/(1x5808)
LCM = 40591876868928/5808
LCM = 6988959516
Thus, we can understand that the LCM of 319,362,484,924,786 is 6988959516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 362, 484, 924, 786?
Answer: LCM of 319, 362, 484, 924, 786 is 6988959516.
2. How to calculate the LCM of 319, 362, 484, 924, 786?
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 319, 362, 484, 924, 786.
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}.