LCM of 795, 285, 458, 674, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 285, 458, 674, 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 795, 285, 458, 674, 494. So, keep reading to learn more.
Given numbers are 795,285,458,674,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,285,458,674,494 is 30308152290.
Find LCM of 795,285,458,674,494 with Prime Factorization
| 2 | 795, 285, 458, 674, 494 |
| 3 | 795, 285, 229, 337, 247 |
| 5 | 265, 95, 229, 337, 247 |
| 19 | 53, 19, 229, 337, 247 |
| 53, 1, 229, 337, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 53 x 1 x 229 x 337 x 13 = 30308152290
Therefore, the lowest common multiple of 795,285,458,674,494 is 30308152290.
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.
795 x 285 x 458 x 674 x 494 = 34551293610600
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
285 : 1, 3, 5, 15, 19, 57, 95, 285
458 : 1, 2, 229, 458
674 : 1, 2, 337, 674
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 795,285,458,674,494, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
285:3x 5x 19
458:2x 229
674:2x 337
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 3x 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 34551293610600/(1x1140)
LCM = 34551293610600/1140
LCM = 30308152290
Thus, we can understand that the LCM of 795,285,458,674,494 is 30308152290.
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FAQs on LCM of 795, 285, 458, 674, 494
1. What is the LCM of 795, 285, 458, 674, 494?
Answer: LCM of 795, 285, 458, 674, 494 is 30308152290.
2. How to calculate the LCM of 795, 285, 458, 674, 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 795, 285, 458, 674, 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}.