Find the LCM of 396, 764, 186, 520, 815 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 396, 764, 186, 520, 815. So, keep reading to learn more.
Given numbers are 396,764,186,520,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,764,186,520,815 is 49684532040.
Find LCM of 396,764,186,520,815 with Prime Factorization
2 | 396, 764, 186, 520, 815 |
2 | 198, 382, 93, 260, 815 |
3 | 99, 191, 93, 130, 815 |
5 | 33, 191, 31, 130, 815 |
33, 191, 31, 26, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 33 x 191 x 31 x 26 x 163 = 49684532040
Therefore, the lowest common multiple of 396,764,186,520,815 is 49684532040.
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.
396 x 764 x 186 x 520 x 815 = 23848575379200
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
764 : 1, 2, 4, 191, 382, 764
186 : 1, 2, 3, 6, 31, 62, 93, 186
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,764,186,520,815, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
764:2x 2x 191
186:2x 3x 31
520:2x 2x 2x 5x 13
815:5x 163
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 23848575379200/(1x480)
LCM = 23848575379200/480
LCM = 49684532040
Thus, we can understand that the LCM of 396,764,186,520,815 is 49684532040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 764, 186, 520, 815?
Answer: LCM of 396, 764, 186, 520, 815 is 49684532040.
2. How to calculate the LCM of 396, 764, 186, 520, 815?
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 396, 764, 186, 520, 815.
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}.