LCM of 398, 940, 288, 416, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 940, 288, 416, 952 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, 940, 288, 416, 952. So, keep reading to learn more.
Given numbers are 398,940,288,416,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,940,288,416,952 is 20835491040.
Find LCM of 398,940,288,416,952 with Prime Factorization
| 2 | 398, 940, 288, 416, 952 |
| 2 | 199, 470, 144, 208, 476 |
| 2 | 199, 235, 72, 104, 238 |
| 2 | 199, 235, 36, 52, 119 |
| 2 | 199, 235, 18, 26, 119 |
| 199, 235, 9, 13, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 199 x 235 x 9 x 13 x 119 = 20835491040
Therefore, the lowest common multiple of 398,940,288,416,952 is 20835491040.
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 940 x 288 x 416 x 952 = 42671085649920
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
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,940,288,416,952, is 2.
Now, the common factors can be found like this.
398:2x 199
940:2x 2x 5x 47
288:2x 2x 2x 2x 2x 3x 3
416:2x 2x 2x 2x 2x 13
952:2x 2x 2x 7x 17
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 2x 2x 2x 2x 2x 2 = 1024
Therefore, the value for common factors is 1024.
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 = 42671085649920/(2x1024)
LCM = 42671085649920/2048
LCM = 20835491040
Thus, we can understand that the LCM of 398,940,288,416,952 is 20835491040.
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FAQs on LCM of 398, 940, 288, 416, 952
1. What is the LCM of 398, 940, 288, 416, 952?
Answer: LCM of 398, 940, 288, 416, 952 is 20835491040.
2. How to calculate the LCM of 398, 940, 288, 416, 952?
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, 940, 288, 416, 952.
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}.