LCM of 638, 289, 186, 842, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 289, 186, 842, 901 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 638, 289, 186, 842, 901. So, keep reading to learn more.
Given numbers are 638,289,186,842,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,289,186,842,901 is 382612747638.
Find LCM of 638,289,186,842,901 with Prime Factorization
| 2 | 638, 289, 186, 842, 901 |
| 17 | 319, 289, 93, 421, 901 |
| 319, 17, 93, 421, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 319 x 17 x 93 x 421 x 53 = 382612747638
Therefore, the lowest common multiple of 638,289,186,842,901 is 382612747638.
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.
638 x 289 x 186 x 842 x 901 = 26017666839384
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
289 : 1, 17, 289
186 : 1, 2, 3, 6, 31, 62, 93, 186
842 : 1, 2, 421, 842
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,289,186,842,901, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
289:17x 17
186:2x 3x 31
842:2x 421
901:17x 53
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 17 = 68
Therefore, the value for common factors is 68.
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 = 26017666839384/(1x68)
LCM = 26017666839384/68
LCM = 382612747638
Thus, we can understand that the LCM of 638,289,186,842,901 is 382612747638.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 289, 186, 842, 901
1. What is the LCM of 638, 289, 186, 842, 901?
Answer: LCM of 638, 289, 186, 842, 901 is 382612747638.
2. How to calculate the LCM of 638, 289, 186, 842, 901?
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 638, 289, 186, 842, 901.
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}.