Find the LCM of 362, 779, 536, 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 362, 779, 536, 786. So, keep reading to learn more.
Given numbers are 362,779,536,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,779,536,786 is 29701157352.
Find LCM of 362,779,536,786 with Prime Factorization
2 | 362, 779, 536, 786 |
181, 779, 268, 393 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 779 x 268 x 393 = 29701157352
Therefore, the lowest common multiple of 362,779,536,786 is 29701157352.
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.
362 x 779 x 536 x 786 = 118804629408
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.
362 : 1, 2, 181, 362
779 : 1, 19, 41, 779
536 : 1, 2, 4, 8, 67, 134, 268, 536
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 362,779,536,786, is 1.
Now, the common factors can be found like this.
362:2x 181
779:19x 41
536:2x 2x 2x 67
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 2 = 4
Therefore, the value for common factors is 4.
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 = 118804629408/(1x4)
LCM = 118804629408/4
LCM = 29701157352
Thus, we can understand that the LCM of 362,779,536,786 is 29701157352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 362, 779, 536, 786?
Answer: LCM of 362, 779, 536, 786 is 29701157352.
2. How to calculate the LCM of 362, 779, 536, 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 362, 779, 536, 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}.