LCM of 398, 154, 488, 252, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 154, 488, 252, 954 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, 154, 488, 252, 954. So, keep reading to learn more.
Given numbers are 398,154,488,252,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,154,488,252,954 is 3566826648.
Find LCM of 398,154,488,252,954 with Prime Factorization
| 2 | 398, 154, 488, 252, 954 |
| 2 | 199, 77, 244, 126, 477 |
| 3 | 199, 77, 122, 63, 477 |
| 3 | 199, 77, 122, 21, 159 |
| 7 | 199, 77, 122, 7, 53 |
| 199, 11, 122, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 199 x 11 x 122 x 1 x 53 = 3566826648
Therefore, the lowest common multiple of 398,154,488,252,954 is 3566826648.
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 154 x 488 x 252 x 954 = 7190722522368
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
488 : 1, 2, 4, 8, 61, 122, 244, 488
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,154,488,252,954, is 2.
Now, the common factors can be found like this.
398:2x 199
154:2x 7x 11
488:2x 2x 2x 61
252:2x 2x 3x 3x 7
954:2x 3x 3x 53
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 7190722522368/(2x1008)
LCM = 7190722522368/2016
LCM = 3566826648
Thus, we can understand that the LCM of 398,154,488,252,954 is 3566826648.
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FAQs on LCM of 398, 154, 488, 252, 954
1. What is the LCM of 398, 154, 488, 252, 954?
Answer: LCM of 398, 154, 488, 252, 954 is 3566826648.
2. How to calculate the LCM of 398, 154, 488, 252, 954?
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, 154, 488, 252, 954.
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}.