LCM of 845, 330, 596, 988, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 330, 596, 988, 490 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 845, 330, 596, 988, 490. So, keep reading to learn more.
Given numbers are 845,330,596,988,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,330,596,988,490 is 15472717260.
Find LCM of 845,330,596,988,490 with Prime Factorization
| 2 | 845, 330, 596, 988, 490 |
| 2 | 845, 165, 298, 494, 245 |
| 5 | 845, 165, 149, 247, 245 |
| 13 | 169, 33, 149, 247, 49 |
| 13, 33, 149, 19, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 13 x 33 x 149 x 19 x 49 = 15472717260
Therefore, the lowest common multiple of 845,330,596,988,490 is 15472717260.
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.
845 x 330 x 596 x 988 x 490 = 80458129752000
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.
845 : 1, 5, 13, 65, 169, 845
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
596 : 1, 2, 4, 149, 298, 596
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,330,596,988,490, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
330:2x 3x 5x 11
596:2x 2x 149
988:2x 2x 13x 19
490:2x 5x 7x 7
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 2x 5x 5x 13 = 5200
Therefore, the value for common factors is 5200.
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 = 80458129752000/(1x5200)
LCM = 80458129752000/5200
LCM = 15472717260
Thus, we can understand that the LCM of 845,330,596,988,490 is 15472717260.
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FAQs on LCM of 845, 330, 596, 988, 490
1. What is the LCM of 845, 330, 596, 988, 490?
Answer: LCM of 845, 330, 596, 988, 490 is 15472717260.
2. How to calculate the LCM of 845, 330, 596, 988, 490?
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 845, 330, 596, 988, 490.
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}.