LCM of 310, 638, 682, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 638, 682, 363 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, 638, 682, 363. So, keep reading to learn more.
Given numbers are 310,638,682,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,638,682,363 is 3263370.
Find LCM of 310,638,682,363 with Prime Factorization
| 2 | 310, 638, 682, 363 |
| 11 | 155, 319, 341, 363 |
| 31 | 155, 29, 31, 33 |
| 5, 29, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 5 x 29 x 1 x 33 = 3263370
Therefore, the lowest common multiple of 310,638,682,363 is 3263370.
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 638 x 682 x 363 = 48963603480
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
682 : 1, 2, 11, 22, 31, 62, 341, 682
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,638,682,363, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
638:2x 11x 29
682:2x 11x 31
363:3x 11x 11
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 11x 11x 31 = 15004
Therefore, the value for common factors is 15004.
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 = 48963603480/(1x15004)
LCM = 48963603480/15004
LCM = 3263370
Thus, we can understand that the LCM of 310,638,682,363 is 3263370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 638, 682, 363
1. What is the LCM of 310, 638, 682, 363?
Answer: LCM of 310, 638, 682, 363 is 3263370.
2. How to calculate the LCM of 310, 638, 682, 363?
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, 638, 682, 363.
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}.