LCM of 169, 585, 494, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 585, 494, 359 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 169, 585, 494, 359. So, keep reading to learn more.
Given numbers are 169,585,494,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,585,494,359 is 103747410.
Find LCM of 169,585,494,359 with Prime Factorization
| 13 | 169, 585, 494, 359 |
| 13, 45, 38, 359 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 45 x 38 x 359 = 103747410
Therefore, the lowest common multiple of 169,585,494,359 is 103747410.
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.
169 x 585 x 494 x 359 = 17533312290
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.
169 : 1, 13, 169
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
494 : 1, 2, 13, 19, 26, 38, 247, 494
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,585,494,359, is 1.
Now, the common factors can be found like this.
169:13x 13
585:3x 3x 5x 13
494:2x 13x 19
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 17533312290/(1x169)
LCM = 17533312290/169
LCM = 103747410
Thus, we can understand that the LCM of 169,585,494,359 is 103747410.
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FAQs on LCM of 169, 585, 494, 359
1. What is the LCM of 169, 585, 494, 359?
Answer: LCM of 169, 585, 494, 359 is 103747410.
2. How to calculate the LCM of 169, 585, 494, 359?
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 169, 585, 494, 359.
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}.