LCM of 772, 828, 944, 400, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 828, 944, 400, 621 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, 828, 944, 400, 621. So, keep reading to learn more.
Given numbers are 772,828,944,400,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,828,944,400,621 is 2828530800.
Find LCM of 772,828,944,400,621 with Prime Factorization
| 2 | 772, 828, 944, 400, 621 |
| 2 | 386, 414, 472, 200, 621 |
| 2 | 193, 207, 236, 100, 621 |
| 2 | 193, 207, 118, 50, 621 |
| 3 | 193, 207, 59, 25, 621 |
| 3 | 193, 69, 59, 25, 207 |
| 23 | 193, 23, 59, 25, 69 |
| 193, 1, 59, 25, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 23 x 193 x 1 x 59 x 25 x 3 = 2828530800
Therefore, the lowest common multiple of 772,828,944,400,621 is 2828530800.
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 828 x 944 x 400 x 621 = 149889504153600
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,828,944,400,621, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
828:2x 2x 3x 3x 23
944:2x 2x 2x 2x 59
400:2x 2x 2x 2x 5x 5
621:3x 3x 3x 23
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 3x 3x 23 = 52992
Therefore, the value for common factors is 52992.
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 = 149889504153600/(1x52992)
LCM = 149889504153600/52992
LCM = 2828530800
Thus, we can understand that the LCM of 772,828,944,400,621 is 2828530800.
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FAQs on LCM of 772, 828, 944, 400, 621
1. What is the LCM of 772, 828, 944, 400, 621?
Answer: LCM of 772, 828, 944, 400, 621 is 2828530800.
2. How to calculate the LCM of 772, 828, 944, 400, 621?
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, 828, 944, 400, 621.
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}.