LCM of 328, 714, 822, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 714, 822, 832 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 328, 714, 822, 832. So, keep reading to learn more.
Given numbers are 328,714,822,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,714,822,832 is 1668383808.
Find LCM of 328,714,822,832 with Prime Factorization
| 2 | 328, 714, 822, 832 |
| 2 | 164, 357, 411, 416 |
| 2 | 82, 357, 411, 208 |
| 3 | 41, 357, 411, 104 |
| 41, 119, 137, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 119 x 137 x 104 = 1668383808
Therefore, the lowest common multiple of 328,714,822,832 is 1668383808.
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.
328 x 714 x 822 x 832 = 160164845568
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
822 : 1, 2, 3, 6, 137, 274, 411, 822
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,714,822,832, is 2.
Now, the common factors can be found like this.
328:2x 2x 2x 41
714:2x 3x 7x 17
822:2x 3x 137
832:2x 2x 2x 2x 2x 2x 13
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 3 = 48
Therefore, the value for common factors is 48.
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 = 160164845568/(2x48)
LCM = 160164845568/96
LCM = 1668383808
Thus, we can understand that the LCM of 328,714,822,832 is 1668383808.
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FAQs on LCM of 328, 714, 822, 832
1. What is the LCM of 328, 714, 822, 832?
Answer: LCM of 328, 714, 822, 832 is 1668383808.
2. How to calculate the LCM of 328, 714, 822, 832?
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 328, 714, 822, 832.
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}.