LCM of 310, 440, 363, 321, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 440, 363, 321, 284 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 310, 440, 363, 321, 284. So, keep reading to learn more.
Given numbers are 310,440,363,321,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,440,363,321,284 is 3419561640.
Find LCM of 310,440,363,321,284 with Prime Factorization
| 2 | 310, 440, 363, 321, 284 |
| 2 | 155, 220, 363, 321, 142 |
| 3 | 155, 110, 363, 321, 71 |
| 5 | 155, 110, 121, 107, 71 |
| 11 | 31, 22, 121, 107, 71 |
| 31, 2, 11, 107, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 31 x 2 x 11 x 107 x 71 = 3419561640
Therefore, the lowest common multiple of 310,440,363,321,284 is 3419561640.
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.
310 x 440 x 363 x 321 x 284 = 4513821364800
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
363 : 1, 3, 11, 33, 121, 363
321 : 1, 3, 107, 321
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,440,363,321,284, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
440:2x 2x 2x 5x 11
363:3x 11x 11
321:3x 107
284:2x 2x 71
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 4513821364800/(1x1320)
LCM = 4513821364800/1320
LCM = 3419561640
Thus, we can understand that the LCM of 310,440,363,321,284 is 3419561640.
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FAQs on LCM of 310, 440, 363, 321, 284
1. What is the LCM of 310, 440, 363, 321, 284?
Answer: LCM of 310, 440, 363, 321, 284 is 3419561640.
2. How to calculate the LCM of 310, 440, 363, 321, 284?
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 310, 440, 363, 321, 284.
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}.