LCM of 773, 944, 392, 772, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 944, 392, 772, 204 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 773, 944, 392, 772, 204. So, keep reading to learn more.
Given numbers are 773,944,392,772,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,944,392,772,204 is 351945205584.
Find LCM of 773,944,392,772,204 with Prime Factorization
| 2 | 773, 944, 392, 772, 204 |
| 2 | 773, 472, 196, 386, 102 |
| 2 | 773, 236, 98, 193, 51 |
| 773, 118, 49, 193, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 773 x 118 x 49 x 193 x 51 = 351945205584
Therefore, the lowest common multiple of 773,944,392,772,204 is 351945205584.
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.
773 x 944 x 392 x 772 x 204 = 45048986314752
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.
773 : 1, 773
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
772 : 1, 2, 4, 193, 386, 772
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,944,392,772,204, is 1.
Now, the common factors can be found like this.
773:773
944:2x 2x 2x 2x 59
392:2x 2x 2x 7x 7
772:2x 2x 193
204:2x 2x 3x 17
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 2 = 128
Therefore, the value for common factors is 128.
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 = 45048986314752/(1x128)
LCM = 45048986314752/128
LCM = 351945205584
Thus, we can understand that the LCM of 773,944,392,772,204 is 351945205584.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 773, 944, 392, 772, 204
1. What is the LCM of 773, 944, 392, 772, 204?
Answer: LCM of 773, 944, 392, 772, 204 is 351945205584.
2. How to calculate the LCM of 773, 944, 392, 772, 204?
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 773, 944, 392, 772, 204.
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}.