LCM of 245, 400, 638, 466, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 245, 400, 638, 466, 338 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 245, 400, 638, 466, 338. So, keep reading to learn more.
Given numbers are 245,400,638,466,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,400,638,466,338 is 246200754800.
Find LCM of 245,400,638,466,338 with Prime Factorization
| 2 | 245, 400, 638, 466, 338 |
| 5 | 245, 200, 319, 233, 169 |
| 49, 40, 319, 233, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 49 x 40 x 319 x 233 x 169 = 246200754800
Therefore, the lowest common multiple of 245,400,638,466,338 is 246200754800.
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.
245 x 400 x 638 x 466 x 338 = 9848030192000
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.
245 : 1, 5, 7, 35, 49, 245
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
638 : 1, 2, 11, 22, 29, 58, 319, 638
466 : 1, 2, 233, 466
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,400,638,466,338, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
400:2x 2x 2x 2x 5x 5
638:2x 11x 29
466:2x 233
338:2x 13x 13
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 9848030192000/(1x40)
LCM = 9848030192000/40
LCM = 246200754800
Thus, we can understand that the LCM of 245,400,638,466,338 is 246200754800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 245, 400, 638, 466, 338
1. What is the LCM of 245, 400, 638, 466, 338?
Answer: LCM of 245, 400, 638, 466, 338 is 246200754800.
2. How to calculate the LCM of 245, 400, 638, 466, 338?
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 245, 400, 638, 466, 338.
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}.