LCM of 269, 713, 598, 286, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 713, 598, 286, 558 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 269, 713, 598, 286, 558. So, keep reading to learn more.
Given numbers are 269,713,598,286,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,713,598,286,558 is 493685478.
Find LCM of 269,713,598,286,558 with Prime Factorization
| 2 | 269, 713, 598, 286, 558 |
| 13 | 269, 713, 299, 143, 279 |
| 23 | 269, 713, 23, 11, 279 |
| 31 | 269, 31, 1, 11, 279 |
| 269, 1, 1, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 31 x 269 x 1 x 1 x 11 x 9 = 493685478
Therefore, the lowest common multiple of 269,713,598,286,558 is 493685478.
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.
269 x 713 x 598 x 286 x 558 = 18303882782328
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.
269 : 1, 269
713 : 1, 23, 31, 713
598 : 1, 2, 13, 23, 26, 46, 299, 598
286 : 1, 2, 11, 13, 22, 26, 143, 286
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,713,598,286,558, is 1.
Now, the common factors can be found like this.
269:269
713:23x 31
598:2x 13x 23
286:2x 11x 13
558:2x 3x 3x 31
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 13x 23x 31 = 37076
Therefore, the value for common factors is 37076.
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 = 18303882782328/(1x37076)
LCM = 18303882782328/37076
LCM = 493685478
Thus, we can understand that the LCM of 269,713,598,286,558 is 493685478.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 713, 598, 286, 558
1. What is the LCM of 269, 713, 598, 286, 558?
Answer: LCM of 269, 713, 598, 286, 558 is 493685478.
2. How to calculate the LCM of 269, 713, 598, 286, 558?
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 269, 713, 598, 286, 558.
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}.