LCM of 283, 884, 374, 351, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 884, 374, 351, 557 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 283, 884, 374, 351, 557. So, keep reading to learn more.
Given numbers are 283,884,374,351,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,884,374,351,557 is 41385703788.
Find LCM of 283,884,374,351,557 with Prime Factorization
| 2 | 283, 884, 374, 351, 557 |
| 13 | 283, 442, 187, 351, 557 |
| 17 | 283, 34, 187, 27, 557 |
| 283, 2, 11, 27, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 283 x 2 x 11 x 27 x 557 = 41385703788
Therefore, the lowest common multiple of 283,884,374,351,557 is 41385703788.
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.
283 x 884 x 374 x 351 x 557 = 18292481074296
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.
283 : 1, 283
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
374 : 1, 2, 11, 17, 22, 34, 187, 374
351 : 1, 3, 9, 13, 27, 39, 117, 351
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,884,374,351,557, is 1.
Now, the common factors can be found like this.
283:283
884:2x 2x 13x 17
374:2x 11x 17
351:3x 3x 3x 13
557:557
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 17 = 442
Therefore, the value for common factors is 442.
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 = 18292481074296/(1x442)
LCM = 18292481074296/442
LCM = 41385703788
Thus, we can understand that the LCM of 283,884,374,351,557 is 41385703788.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 283, 884, 374, 351, 557
1. What is the LCM of 283, 884, 374, 351, 557?
Answer: LCM of 283, 884, 374, 351, 557 is 41385703788.
2. How to calculate the LCM of 283, 884, 374, 351, 557?
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 283, 884, 374, 351, 557.
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}.