LCM of 589, 495, 310, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 495, 310, 792 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 589, 495, 310, 792. So, keep reading to learn more.
Given numbers are 589,495,310,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,495,310,792 is 2332440.
Find LCM of 589,495,310,792 with Prime Factorization
| 2 | 589, 495, 310, 792 |
| 3 | 589, 495, 155, 396 |
| 3 | 589, 165, 155, 132 |
| 5 | 589, 55, 155, 44 |
| 11 | 589, 11, 31, 44 |
| 31 | 589, 1, 31, 4 |
| 19, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 31 x 19 x 1 x 1 x 4 = 2332440
Therefore, the lowest common multiple of 589,495,310,792 is 2332440.
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.
589 x 495 x 310 x 792 = 71582583600
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.
589 : 1, 19, 31, 589
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
310 : 1, 2, 5, 10, 31, 62, 155, 310
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,495,310,792, is 1.
Now, the common factors can be found like this.
589:19x 31
495:3x 3x 5x 11
310:2x 5x 31
792:2x 2x 2x 3x 3x 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 3x 3x 5x 11x 31 = 30690
Therefore, the value for common factors is 30690.
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 = 71582583600/(1x30690)
LCM = 71582583600/30690
LCM = 2332440
Thus, we can understand that the LCM of 589,495,310,792 is 2332440.
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FAQs on LCM of 589, 495, 310, 792
1. What is the LCM of 589, 495, 310, 792?
Answer: LCM of 589, 495, 310, 792 is 2332440.
2. How to calculate the LCM of 589, 495, 310, 792?
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 589, 495, 310, 792.
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}.