LCM of 645, 923, 500, 817, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 923, 500, 817, 598 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 645, 923, 500, 817, 598. So, keep reading to learn more.
Given numbers are 645,923,500,817,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,923,500,817,598 is 26016139500.
Find LCM of 645,923,500,817,598 with Prime Factorization
| 2 | 645, 923, 500, 817, 598 |
| 5 | 645, 923, 250, 817, 299 |
| 13 | 129, 923, 50, 817, 299 |
| 43 | 129, 71, 50, 817, 23 |
| 3, 71, 50, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 43 x 3 x 71 x 50 x 19 x 23 = 26016139500
Therefore, the lowest common multiple of 645,923,500,817,598 is 26016139500.
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.
645 x 923 x 500 x 817 x 598 = 145430219805000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
923 : 1, 13, 71, 923
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
817 : 1, 19, 43, 817
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,923,500,817,598, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
923:13x 71
500:2x 2x 5x 5x 5
817:19x 43
598:2x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 43 = 5590
Therefore, the value for common factors is 5590.
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 = 145430219805000/(1x5590)
LCM = 145430219805000/5590
LCM = 26016139500
Thus, we can understand that the LCM of 645,923,500,817,598 is 26016139500.
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FAQs on LCM of 645, 923, 500, 817, 598
1. What is the LCM of 645, 923, 500, 817, 598?
Answer: LCM of 645, 923, 500, 817, 598 is 26016139500.
2. How to calculate the LCM of 645, 923, 500, 817, 598?
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 645, 923, 500, 817, 598.
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}.