LCM of 335, 493, 804, 315, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 493, 804, 315, 190 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 335, 493, 804, 315, 190. So, keep reading to learn more.
Given numbers are 335,493,804,315,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,493,804,315,190 is 790762140.
Find LCM of 335,493,804,315,190 with Prime Factorization
| 2 | 335, 493, 804, 315, 190 |
| 3 | 335, 493, 402, 315, 95 |
| 5 | 335, 493, 134, 105, 95 |
| 67 | 67, 493, 134, 21, 19 |
| 1, 493, 2, 21, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 1 x 493 x 2 x 21 x 19 = 790762140
Therefore, the lowest common multiple of 335,493,804,315,190 is 790762140.
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.
335 x 493 x 804 x 315 x 190 = 7947159507000
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.
335 : 1, 5, 67, 335
493 : 1, 17, 29, 493
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,493,804,315,190, is 1.
Now, the common factors can be found like this.
335:5x 67
493:17x 29
804:2x 2x 3x 67
315:3x 3x 5x 7
190:2x 5x 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 3x 5x 5x 67 = 10050
Therefore, the value for common factors is 10050.
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 = 7947159507000/(1x10050)
LCM = 7947159507000/10050
LCM = 790762140
Thus, we can understand that the LCM of 335,493,804,315,190 is 790762140.
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FAQs on LCM of 335, 493, 804, 315, 190
1. What is the LCM of 335, 493, 804, 315, 190?
Answer: LCM of 335, 493, 804, 315, 190 is 790762140.
2. How to calculate the LCM of 335, 493, 804, 315, 190?
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 335, 493, 804, 315, 190.
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}.