LCM of 557, 986, 403, 589, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 986, 403, 589, 474 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, 986, 403, 589, 474. So, keep reading to learn more.
Given numbers are 557,986,403,589,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,986,403,589,474 is 996641812218.
Find LCM of 557,986,403,589,474 with Prime Factorization
| 2 | 557, 986, 403, 589, 474 |
| 31 | 557, 493, 403, 589, 237 |
| 557, 493, 13, 19, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 557 x 493 x 13 x 19 x 237 = 996641812218
Therefore, the lowest common multiple of 557,986,403,589,474 is 996641812218.
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 986 x 403 x 589 x 474 = 61791792357516
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
403 : 1, 13, 31, 403
589 : 1, 19, 31, 589
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,986,403,589,474, is 1.
Now, the common factors can be found like this.
557:557
986:2x 17x 29
403:13x 31
589:19x 31
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 61791792357516/(1x62)
LCM = 61791792357516/62
LCM = 996641812218
Thus, we can understand that the LCM of 557,986,403,589,474 is 996641812218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 986, 403, 589, 474
1. What is the LCM of 557, 986, 403, 589, 474?
Answer: LCM of 557, 986, 403, 589, 474 is 996641812218.
2. How to calculate the LCM of 557, 986, 403, 589, 474?
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, 986, 403, 589, 474.
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}.