LCM of 638, 391, 407, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 391, 407, 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, 391, 407, 901. So, keep reading to learn more.
Given numbers are 638,391,407,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,391,407,901 is 489187138.
Find LCM of 638,391,407,901 with Prime Factorization
| 11 | 638, 391, 407, 901 |
| 17 | 58, 391, 37, 901 |
| 58, 23, 37, 53 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 58 x 23 x 37 x 53 = 489187138
Therefore, the lowest common multiple of 638,391,407,901 is 489187138.
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 391 x 407 x 901 = 91477994806
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
391 : 1, 17, 23, 391
407 : 1, 11, 37, 407
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,391,407,901, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
391:17x 23
407:11x 37
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.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 91477994806/(1x187)
LCM = 91477994806/187
LCM = 489187138
Thus, we can understand that the LCM of 638,391,407,901 is 489187138.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 391, 407, 901
1. What is the LCM of 638, 391, 407, 901?
Answer: LCM of 638, 391, 407, 901 is 489187138.
2. How to calculate the LCM of 638, 391, 407, 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, 391, 407, 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}.