LCM of 398, 993, 315, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 993, 315, 995 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 398, 993, 315, 995. So, keep reading to learn more.
Given numbers are 398,993,315,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,993,315,995 is 41497470.
Find LCM of 398,993,315,995 with Prime Factorization
| 3 | 398, 993, 315, 995 |
| 5 | 398, 331, 105, 995 |
| 199 | 398, 331, 21, 199 |
| 2, 331, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 199 x 2 x 331 x 21 x 1 = 41497470
Therefore, the lowest common multiple of 398,993,315,995 is 41497470.
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.
398 x 993 x 315 x 995 = 123869947950
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.
398 : 1, 2, 199, 398
993 : 1, 3, 331, 993
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,993,315,995, is 1.
Now, the common factors can be found like this.
398:2x 199
993:3x 331
315:3x 3x 5x 7
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 199 = 2985
Therefore, the value for common factors is 2985.
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 = 123869947950/(1x2985)
LCM = 123869947950/2985
LCM = 41497470
Thus, we can understand that the LCM of 398,993,315,995 is 41497470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 993, 315, 995
1. What is the LCM of 398, 993, 315, 995?
Answer: LCM of 398, 993, 315, 995 is 41497470.
2. How to calculate the LCM of 398, 993, 315, 995?
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 398, 993, 315, 995.
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}.