LCM of 589, 935, 748, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 935, 748, 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, 935, 748, 792. So, keep reading to learn more.
Given numbers are 589,935,748,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,935,748,792 is 39651480.
Find LCM of 589,935,748,792 with Prime Factorization
| 2 | 589, 935, 748, 792 |
| 2 | 589, 935, 374, 396 |
| 11 | 589, 935, 187, 198 |
| 17 | 589, 85, 17, 18 |
| 589, 5, 1, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 589 x 5 x 1 x 18 = 39651480
Therefore, the lowest common multiple of 589,935,748,792 is 39651480.
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 935 x 748 x 792 = 326252377440
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 589,935,748,792, is 1.
Now, the common factors can be found like this.
589:19x 31
935:5x 11x 17
748:2x 2x 11x 17
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 2x 11x 11x 17 = 8228
Therefore, the value for common factors is 8228.
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 = 326252377440/(1x8228)
LCM = 326252377440/8228
LCM = 39651480
Thus, we can understand that the LCM of 589,935,748,792 is 39651480.
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FAQs on LCM of 589, 935, 748, 792
1. What is the LCM of 589, 935, 748, 792?
Answer: LCM of 589, 935, 748, 792 is 39651480.
2. How to calculate the LCM of 589, 935, 748, 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, 935, 748, 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}.