LCM of 310, 609, 408, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 609, 408, 696 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, 609, 408, 696. So, keep reading to learn more.
Given numbers are 310,609,408,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,609,408,696 is 12837720.
Find LCM of 310,609,408,696 with Prime Factorization
| 2 | 310, 609, 408, 696 |
| 2 | 155, 609, 204, 348 |
| 2 | 155, 609, 102, 174 |
| 3 | 155, 609, 51, 87 |
| 29 | 155, 203, 17, 29 |
| 155, 7, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 155 x 7 x 17 x 1 = 12837720
Therefore, the lowest common multiple of 310,609,408,696 is 12837720.
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 609 x 408 x 696 = 53610318720
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,609,408,696, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
609:3x 7x 29
408:2x 2x 2x 3x 17
696:2x 2x 2x 3x 29
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 29 = 4176
Therefore, the value for common factors is 4176.
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 = 53610318720/(1x4176)
LCM = 53610318720/4176
LCM = 12837720
Thus, we can understand that the LCM of 310,609,408,696 is 12837720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 609, 408, 696
1. What is the LCM of 310, 609, 408, 696?
Answer: LCM of 310, 609, 408, 696 is 12837720.
2. How to calculate the LCM of 310, 609, 408, 696?
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, 609, 408, 696.
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}.