Find the LCM of 186, 688, 501, 609, 396 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 186, 688, 501, 609, 396. So, keep reading to learn more.
Given numbers are 186,688,501,609,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,688,501,609,396 is 71581012272.
Find LCM of 186,688,501,609,396 with Prime Factorization
2 | 186, 688, 501, 609, 396 |
2 | 93, 344, 501, 609, 198 |
3 | 93, 172, 501, 609, 99 |
31, 172, 167, 203, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 172 x 167 x 203 x 33 = 71581012272
Therefore, the lowest common multiple of 186,688,501,609,396 is 71581012272.
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.
186 x 688 x 501 x 609 x 396 = 15461498650752
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
501 : 1, 3, 167, 501
609 : 1, 3, 7, 21, 29, 87, 203, 609
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,688,501,609,396, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
688:2x 2x 2x 2x 43
501:3x 167
609:3x 7x 29
396:2x 2x 3x 3x 11
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 15461498650752/(1x216)
LCM = 15461498650752/216
LCM = 71581012272
Thus, we can understand that the LCM of 186,688,501,609,396 is 71581012272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 186, 688, 501, 609, 396?
Answer: LCM of 186, 688, 501, 609, 396 is 71581012272.
2. How to calculate the LCM of 186, 688, 501, 609, 396?
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 186, 688, 501, 609, 396.
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}.