LCM of 594, 832, 424, 682, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 832, 424, 682, 848 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 594, 832, 424, 682, 848. So, keep reading to learn more.
Given numbers are 594,832,424,682,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,832,424,682,848 is 405991872.
Find LCM of 594,832,424,682,848 with Prime Factorization
| 2 | 594, 832, 424, 682, 848 |
| 2 | 297, 416, 212, 341, 424 |
| 2 | 297, 208, 106, 341, 212 |
| 2 | 297, 104, 53, 341, 106 |
| 11 | 297, 52, 53, 341, 53 |
| 53 | 27, 52, 53, 31, 53 |
| 27, 52, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 53 x 27 x 52 x 1 x 31 x 1 = 405991872
Therefore, the lowest common multiple of 594,832,424,682,848 is 405991872.
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.
594 x 832 x 424 x 682 x 848 = 121186949824512
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
424 : 1, 2, 4, 8, 53, 106, 212, 424
682 : 1, 2, 11, 22, 31, 62, 341, 682
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,832,424,682,848, is 2.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
832:2x 2x 2x 2x 2x 2x 13
424:2x 2x 2x 53
682:2x 11x 31
848:2x 2x 2x 2x 53
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 2x 2x 2x 2x 11x 53 = 149248
Therefore, the value for common factors is 149248.
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 = 121186949824512/(2x149248)
LCM = 121186949824512/298496
LCM = 405991872
Thus, we can understand that the LCM of 594,832,424,682,848 is 405991872.
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FAQs on LCM of 594, 832, 424, 682, 848
1. What is the LCM of 594, 832, 424, 682, 848?
Answer: LCM of 594, 832, 424, 682, 848 is 405991872.
2. How to calculate the LCM of 594, 832, 424, 682, 848?
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 594, 832, 424, 682, 848.
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}.