LCM of 590, 361, 546, 462, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 361, 546, 462, 299 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 590, 361, 546, 462, 299. So, keep reading to learn more.
Given numbers are 590,361,546,462,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,361,546,462,299 is 14711006310.
Find LCM of 590,361,546,462,299 with Prime Factorization
| 2 | 590, 361, 546, 462, 299 |
| 3 | 295, 361, 273, 231, 299 |
| 7 | 295, 361, 91, 77, 299 |
| 13 | 295, 361, 13, 11, 299 |
| 295, 361, 1, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 295 x 361 x 1 x 11 x 23 = 14711006310
Therefore, the lowest common multiple of 590,361,546,462,299 is 14711006310.
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.
590 x 361 x 546 x 462 x 299 = 16064418890520
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
361 : 1, 19, 361
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,361,546,462,299, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
361:19x 19
546:2x 3x 7x 13
462:2x 3x 7x 11
299:13x 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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 16064418890520/(1x1092)
LCM = 16064418890520/1092
LCM = 14711006310
Thus, we can understand that the LCM of 590,361,546,462,299 is 14711006310.
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FAQs on LCM of 590, 361, 546, 462, 299
1. What is the LCM of 590, 361, 546, 462, 299?
Answer: LCM of 590, 361, 546, 462, 299 is 14711006310.
2. How to calculate the LCM of 590, 361, 546, 462, 299?
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 590, 361, 546, 462, 299.
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}.