LCM of 598, 780, 729, 500, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 780, 729, 500, 382 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, 780, 729, 500, 382. So, keep reading to learn more.
Given numbers are 598,780,729,500,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,780,729,500,382 is 20816230500.
Find LCM of 598,780,729,500,382 with Prime Factorization
| 2 | 598, 780, 729, 500, 382 |
| 2 | 299, 390, 729, 250, 191 |
| 3 | 299, 195, 729, 125, 191 |
| 5 | 299, 65, 243, 125, 191 |
| 13 | 299, 13, 243, 25, 191 |
| 23, 1, 243, 25, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 23 x 1 x 243 x 25 x 191 = 20816230500
Therefore, the lowest common multiple of 598,780,729,500,382 is 20816230500.
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 780 x 729 x 500 x 382 = 64946639160000
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
729 : 1, 3, 9, 27, 81, 243, 729
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,780,729,500,382, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
780:2x 2x 3x 5x 13
729:3x 3x 3x 3x 3x 3
500:2x 2x 5x 5x 5
382:2x 191
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 64946639160000/(1x3120)
LCM = 64946639160000/3120
LCM = 20816230500
Thus, we can understand that the LCM of 598,780,729,500,382 is 20816230500.
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FAQs on LCM of 598, 780, 729, 500, 382
1. What is the LCM of 598, 780, 729, 500, 382?
Answer: LCM of 598, 780, 729, 500, 382 is 20816230500.
2. How to calculate the LCM of 598, 780, 729, 500, 382?
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, 780, 729, 500, 382.
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}.