LCM of 190, 351, 782, 204, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 351, 782, 204, 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 190, 351, 782, 204, 490. So, keep reading to learn more.
Given numbers are 190,351,782,204,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,351,782,204,490 is 2555427420.
Find LCM of 190,351,782,204,490 with Prime Factorization
| 2 | 190, 351, 782, 204, 490 |
| 3 | 95, 351, 391, 102, 245 |
| 5 | 95, 117, 391, 34, 245 |
| 17 | 19, 117, 391, 34, 49 |
| 19, 117, 23, 2, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 19 x 117 x 23 x 2 x 49 = 2555427420
Therefore, the lowest common multiple of 190,351,782,204,490 is 2555427420.
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.
190 x 351 x 782 x 204 x 490 = 5213071936800
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
351 : 1, 3, 9, 13, 27, 39, 117, 351
782 : 1, 2, 17, 23, 34, 46, 391, 782
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 190,351,782,204,490, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
351:3x 3x 3x 13
782:2x 17x 23
204:2x 2x 3x 17
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 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 5213071936800/(1x2040)
LCM = 5213071936800/2040
LCM = 2555427420
Thus, we can understand that the LCM of 190,351,782,204,490 is 2555427420.
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FAQs on LCM of 190, 351, 782, 204, 490
1. What is the LCM of 190, 351, 782, 204, 490?
Answer: LCM of 190, 351, 782, 204, 490 is 2555427420.
2. How to calculate the LCM of 190, 351, 782, 204, 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 190, 351, 782, 204, 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}.