LCM of 912, 703, 642, 321, 601
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 703, 642, 321, 601 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 912, 703, 642, 321, 601. So, keep reading to learn more.
Given numbers are 912,703,642,321,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,703,642,321,601 is 2169975408.
Find LCM of 912,703,642,321,601 with Prime Factorization
| 2 | 912, 703, 642, 321, 601 |
| 3 | 456, 703, 321, 321, 601 |
| 19 | 152, 703, 107, 107, 601 |
| 107 | 8, 37, 107, 107, 601 |
| 8, 37, 1, 1, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 107 x 8 x 37 x 1 x 1 x 601 = 2169975408
Therefore, the lowest common multiple of 912,703,642,321,601 is 2169975408.
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.
912 x 703 x 642 x 321 x 601 = 79408080080352
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
703 : 1, 19, 37, 703
642 : 1, 2, 3, 6, 107, 214, 321, 642
321 : 1, 3, 107, 321
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,703,642,321,601, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
703:19x 37
642:2x 3x 107
321:3x 107
601:601
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 107 = 36594
Therefore, the value for common factors is 36594.
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 = 79408080080352/(1x36594)
LCM = 79408080080352/36594
LCM = 2169975408
Thus, we can understand that the LCM of 912,703,642,321,601 is 2169975408.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 912, 703, 642, 321, 601
1. What is the LCM of 912, 703, 642, 321, 601?
Answer: LCM of 912, 703, 642, 321, 601 is 2169975408.
2. How to calculate the LCM of 912, 703, 642, 321, 601?
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 912, 703, 642, 321, 601.
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}.