LCM of 358, 488, 412, 671, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 488, 412, 671, 398 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 358, 488, 412, 671, 398. So, keep reading to learn more.
Given numbers are 358,488,412,671,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,488,412,671,398 is 19694993384.
Find LCM of 358,488,412,671,398 with Prime Factorization
| 2 | 358, 488, 412, 671, 398 |
| 2 | 179, 244, 206, 671, 199 |
| 61 | 179, 122, 103, 671, 199 |
| 179, 2, 103, 11, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 179 x 2 x 103 x 11 x 199 = 19694993384
Therefore, the lowest common multiple of 358,488,412,671,398 is 19694993384.
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.
358 x 488 x 412 x 671 x 398 = 19222313542784
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.
358 : 1, 2, 179, 358
488 : 1, 2, 4, 8, 61, 122, 244, 488
412 : 1, 2, 4, 103, 206, 412
671 : 1, 11, 61, 671
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,488,412,671,398, is 1.
Now, the common factors can be found like this.
358:2x 179
488:2x 2x 2x 61
412:2x 2x 103
671:11x 61
398:2x 199
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 2x 61 = 976
Therefore, the value for common factors is 976.
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 = 19222313542784/(1x976)
LCM = 19222313542784/976
LCM = 19694993384
Thus, we can understand that the LCM of 358,488,412,671,398 is 19694993384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 488, 412, 671, 398
1. What is the LCM of 358, 488, 412, 671, 398?
Answer: LCM of 358, 488, 412, 671, 398 is 19694993384.
2. How to calculate the LCM of 358, 488, 412, 671, 398?
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 358, 488, 412, 671, 398.
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}.