LCM of 772, 832, 694, 856, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 832, 694, 856, 728 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 772, 832, 694, 856, 728. So, keep reading to learn more.
Given numbers are 772,832,694,856,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,832,694,856,728 is 41734184128.
Find LCM of 772,832,694,856,728 with Prime Factorization
| 2 | 772, 832, 694, 856, 728 |
| 2 | 386, 416, 347, 428, 364 |
| 2 | 193, 208, 347, 214, 182 |
| 13 | 193, 104, 347, 107, 91 |
| 193, 8, 347, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 193 x 8 x 347 x 107 x 7 = 41734184128
Therefore, the lowest common multiple of 772,832,694,856,728 is 41734184128.
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.
772 x 832 x 694 x 856 x 728 = 277782729555968
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.
772 : 1, 2, 4, 193, 386, 772
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
694 : 1, 2, 347, 694
856 : 1, 2, 4, 8, 107, 214, 428, 856
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,832,694,856,728, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
832:2x 2x 2x 2x 2x 2x 13
694:2x 347
856:2x 2x 2x 107
728:2x 2x 2x 7x 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 2x 2x 2x 2x 13 = 3328
Therefore, the value for common factors is 3328.
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 = 277782729555968/(2x3328)
LCM = 277782729555968/6656
LCM = 41734184128
Thus, we can understand that the LCM of 772,832,694,856,728 is 41734184128.
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FAQs on LCM of 772, 832, 694, 856, 728
1. What is the LCM of 772, 832, 694, 856, 728?
Answer: LCM of 772, 832, 694, 856, 728 is 41734184128.
2. How to calculate the LCM of 772, 832, 694, 856, 728?
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 772, 832, 694, 856, 728.
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}.