LCM of 491, 493, 382, 943, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 493, 382, 943, 391 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 491, 493, 382, 943, 391. So, keep reading to learn more.
Given numbers are 491,493,382,943,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,493,382,943,391 is 87197386238.
Find LCM of 491,493,382,943,391 with Prime Factorization
| 17 | 491, 493, 382, 943, 391 |
| 23 | 491, 29, 382, 943, 23 |
| 491, 29, 382, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 491 x 29 x 382 x 41 x 1 = 87197386238
Therefore, the lowest common multiple of 491,493,382,943,391 is 87197386238.
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.
491 x 493 x 382 x 943 x 391 = 34094178019058
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.
491 : 1, 491
493 : 1, 17, 29, 493
382 : 1, 2, 191, 382
943 : 1, 23, 41, 943
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,493,382,943,391, is 1.
Now, the common factors can be found like this.
491:491
493:17x 29
382:2x 191
943:23x 41
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23 = 391
Therefore, the value for common factors is 391.
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 = 34094178019058/(1x391)
LCM = 34094178019058/391
LCM = 87197386238
Thus, we can understand that the LCM of 491,493,382,943,391 is 87197386238.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 493, 382, 943, 391
1. What is the LCM of 491, 493, 382, 943, 391?
Answer: LCM of 491, 493, 382, 943, 391 is 87197386238.
2. How to calculate the LCM of 491, 493, 382, 943, 391?
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 491, 493, 382, 943, 391.
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}.