LCM of 557, 238, 416, 494, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 238, 416, 494, 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 557, 238, 416, 494, 391. So, keep reading to learn more.
Given numbers are 557,238,416,494,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,238,416,494,391 is 12049719136.
Find LCM of 557,238,416,494,391 with Prime Factorization
| 2 | 557, 238, 416, 494, 391 |
| 13 | 557, 119, 208, 247, 391 |
| 17 | 557, 119, 16, 19, 391 |
| 557, 7, 16, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 557 x 7 x 16 x 19 x 23 = 12049719136
Therefore, the lowest common multiple of 557,238,416,494,391 is 12049719136.
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.
557 x 238 x 416 x 494 x 391 = 10651951716224
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.
557 : 1, 557
238 : 1, 2, 7, 14, 17, 34, 119, 238
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
494 : 1, 2, 13, 19, 26, 38, 247, 494
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,238,416,494,391, is 1.
Now, the common factors can be found like this.
557:557
238:2x 7x 17
416:2x 2x 2x 2x 2x 13
494:2x 13x 19
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.
2x 2x 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 10651951716224/(1x884)
LCM = 10651951716224/884
LCM = 12049719136
Thus, we can understand that the LCM of 557,238,416,494,391 is 12049719136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 238, 416, 494, 391
1. What is the LCM of 557, 238, 416, 494, 391?
Answer: LCM of 557, 238, 416, 494, 391 is 12049719136.
2. How to calculate the LCM of 557, 238, 416, 494, 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 557, 238, 416, 494, 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}.