LCM of 598, 330, 697, 144, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 330, 697, 144, 634 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 598, 330, 697, 144, 634. So, keep reading to learn more.
Given numbers are 598,330,697,144,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,330,697,144,634 is 523224907920.
Find LCM of 598,330,697,144,634 with Prime Factorization
| 2 | 598, 330, 697, 144, 634 |
| 3 | 299, 165, 697, 72, 317 |
| 299, 55, 697, 24, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 299 x 55 x 697 x 24 x 317 = 523224907920
Therefore, the lowest common multiple of 598,330,697,144,634 is 523224907920.
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.
598 x 330 x 697 x 144 x 634 = 12557397790080
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
697 : 1, 17, 41, 697
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,330,697,144,634, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
330:2x 3x 5x 11
697:17x 41
144:2x 2x 2x 2x 3x 3
634:2x 317
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 3 = 24
Therefore, the value for common factors is 24.
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 = 12557397790080/(1x24)
LCM = 12557397790080/24
LCM = 523224907920
Thus, we can understand that the LCM of 598,330,697,144,634 is 523224907920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 598, 330, 697, 144, 634
1. What is the LCM of 598, 330, 697, 144, 634?
Answer: LCM of 598, 330, 697, 144, 634 is 523224907920.
2. How to calculate the LCM of 598, 330, 697, 144, 634?
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 598, 330, 697, 144, 634.
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}.