LCM of 499, 786, 524, 230, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 786, 524, 230, 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 499, 786, 524, 230, 598. So, keep reading to learn more.
Given numbers are 499,786,524,230,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,786,524,230,598 is 1172719860.
Find LCM of 499,786,524,230,598 with Prime Factorization
| 2 | 499, 786, 524, 230, 598 |
| 23 | 499, 393, 262, 115, 299 |
| 131 | 499, 393, 262, 5, 13 |
| 499, 3, 2, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 131 x 499 x 3 x 2 x 5 x 13 = 1172719860
Therefore, the lowest common multiple of 499,786,524,230,598 is 1172719860.
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.
499 x 786 x 524 x 230 x 598 = 28267239505440
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.
499 : 1, 499
786 : 1, 2, 3, 6, 131, 262, 393, 786
524 : 1, 2, 4, 131, 262, 524
230 : 1, 2, 5, 10, 23, 46, 115, 230
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 499,786,524,230,598, is 1.
Now, the common factors can be found like this.
499:499
786:2x 3x 131
524:2x 2x 131
230:2x 5x 23
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 2x 2x 23x 131 = 24104
Therefore, the value for common factors is 24104.
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 = 28267239505440/(1x24104)
LCM = 28267239505440/24104
LCM = 1172719860
Thus, we can understand that the LCM of 499,786,524,230,598 is 1172719860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 786, 524, 230, 598
1. What is the LCM of 499, 786, 524, 230, 598?
Answer: LCM of 499, 786, 524, 230, 598 is 1172719860.
2. How to calculate the LCM of 499, 786, 524, 230, 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 499, 786, 524, 230, 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}.