LCM of 586, 499, 936, 361, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 499, 936, 361, 494 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 586, 499, 936, 361, 494. So, keep reading to learn more.
Given numbers are 586,499,936,361,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,499,936,361,494 is 49402760472.
Find LCM of 586,499,936,361,494 with Prime Factorization
| 2 | 586, 499, 936, 361, 494 |
| 13 | 293, 499, 468, 361, 247 |
| 19 | 293, 499, 36, 361, 19 |
| 293, 499, 36, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 293 x 499 x 36 x 1 x 19 = 49402760472
Therefore, the lowest common multiple of 586,499,936,361,494 is 49402760472.
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.
586 x 499 x 936 x 361 x 494 = 48809927346336
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.
586 : 1, 2, 293, 586
499 : 1, 499
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
361 : 1, 19, 361
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,499,936,361,494, is 1.
Now, the common factors can be found like this.
586:2x 293
499:499
936:2x 2x 2x 3x 3x 13
361:19x 19
494:2x 13x 19
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 19 = 988
Therefore, the value for common factors is 988.
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 = 48809927346336/(1x988)
LCM = 48809927346336/988
LCM = 49402760472
Thus, we can understand that the LCM of 586,499,936,361,494 is 49402760472.
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FAQs on LCM of 586, 499, 936, 361, 494
1. What is the LCM of 586, 499, 936, 361, 494?
Answer: LCM of 586, 499, 936, 361, 494 is 49402760472.
2. How to calculate the LCM of 586, 499, 936, 361, 494?
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 586, 499, 936, 361, 494.
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}.