LCM of 594, 834, 708, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 834, 708, 864 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, 834, 708, 864. So, keep reading to learn more.
Given numbers are 594,834,708,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,834,708,864 is 77942304.
Find LCM of 594,834,708,864 with Prime Factorization
| 2 | 594, 834, 708, 864 |
| 2 | 297, 417, 354, 432 |
| 3 | 297, 417, 177, 216 |
| 3 | 99, 139, 59, 72 |
| 3 | 33, 139, 59, 24 |
| 11, 139, 59, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 139 x 59 x 8 = 77942304
Therefore, the lowest common multiple of 594,834,708,864 is 77942304.
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 834 x 708 x 864 = 303039677952
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,834,708,864, is 6.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
834:2x 3x 139
708:2x 2x 3x 59
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 303039677952/(6x648)
LCM = 303039677952/3888
LCM = 77942304
Thus, we can understand that the LCM of 594,834,708,864 is 77942304.
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FAQs on LCM of 594, 834, 708, 864
1. What is the LCM of 594, 834, 708, 864?
Answer: LCM of 594, 834, 708, 864 is 77942304.
2. How to calculate the LCM of 594, 834, 708, 864?
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, 834, 708, 864.
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}.