LCM of 671, 182, 323, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 182, 323, 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 671, 182, 323, 494. So, keep reading to learn more.
Given numbers are 671,182,323,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,182,323,494 is 39445406.
Find LCM of 671,182,323,494 with Prime Factorization
| 2 | 671, 182, 323, 494 |
| 13 | 671, 91, 323, 247 |
| 19 | 671, 7, 323, 19 |
| 671, 7, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 671 x 7 x 17 x 1 = 39445406
Therefore, the lowest common multiple of 671,182,323,494 is 39445406.
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.
671 x 182 x 323 x 494 = 19486030564
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.
671 : 1, 11, 61, 671
182 : 1, 2, 7, 13, 14, 26, 91, 182
323 : 1, 17, 19, 323
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 671,182,323,494, is 1.
Now, the common factors can be found like this.
671:11x 61
182:2x 7x 13
323:17x 19
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 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 19486030564/(1x494)
LCM = 19486030564/494
LCM = 39445406
Thus, we can understand that the LCM of 671,182,323,494 is 39445406.
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FAQs on LCM of 671, 182, 323, 494
1. What is the LCM of 671, 182, 323, 494?
Answer: LCM of 671, 182, 323, 494 is 39445406.
2. How to calculate the LCM of 671, 182, 323, 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 671, 182, 323, 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}.