Find the LCM of 963, 658, 579, 670, 188 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 963, 658, 579, 670, 188. So, keep reading to learn more.
Given numbers are 963,658,579,670,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,658,579,670,188 is 81937798740.
Find LCM of 963,658,579,670,188 with Prime Factorization
2 | 963, 658, 579, 670, 188 |
3 | 963, 329, 579, 335, 94 |
47 | 321, 329, 193, 335, 94 |
321, 7, 193, 335, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 321 x 7 x 193 x 335 x 2 = 81937798740
Therefore, the lowest common multiple of 963,658,579,670,188 is 81937798740.
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.
963 x 658 x 579 x 670 x 188 = 46212918489360
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.
963 : 1, 3, 9, 107, 321, 963
658 : 1, 2, 7, 14, 47, 94, 329, 658
579 : 1, 3, 193, 579
670 : 1, 2, 5, 10, 67, 134, 335, 670
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,658,579,670,188, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
658:2x 7x 47
579:3x 193
670:2x 5x 67
188:2x 2x 47
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 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 46212918489360/(1x564)
LCM = 46212918489360/564
LCM = 81937798740
Thus, we can understand that the LCM of 963,658,579,670,188 is 81937798740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 658, 579, 670, 188?
Answer: LCM of 963, 658, 579, 670, 188 is 81937798740.
2. How to calculate the LCM of 963, 658, 579, 670, 188?
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 963, 658, 579, 670, 188.
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}.