LCM of 364, 283, 308, 400, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 283, 308, 400, 998 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 364, 283, 308, 400, 998. So, keep reading to learn more.
Given numbers are 364,283,308,400,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,283,308,400,998 is 56543286800.
Find LCM of 364,283,308,400,998 with Prime Factorization
| 2 | 364, 283, 308, 400, 998 |
| 2 | 182, 283, 154, 200, 499 |
| 7 | 91, 283, 77, 100, 499 |
| 13, 283, 11, 100, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 283 x 11 x 100 x 499 = 56543286800
Therefore, the lowest common multiple of 364,283,308,400,998 is 56543286800.
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.
364 x 283 x 308 x 400 x 998 = 12665696243200
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
283 : 1, 283
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,283,308,400,998, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
283:283
308:2x 2x 7x 11
400:2x 2x 2x 2x 5x 5
998:2x 499
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 7 = 224
Therefore, the value for common factors is 224.
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 = 12665696243200/(1x224)
LCM = 12665696243200/224
LCM = 56543286800
Thus, we can understand that the LCM of 364,283,308,400,998 is 56543286800.
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FAQs on LCM of 364, 283, 308, 400, 998
1. What is the LCM of 364, 283, 308, 400, 998?
Answer: LCM of 364, 283, 308, 400, 998 is 56543286800.
2. How to calculate the LCM of 364, 283, 308, 400, 998?
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 364, 283, 308, 400, 998.
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}.