LCM of 352, 769, 221, 663, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 769, 221, 663, 128 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 352, 769, 221, 663, 128. So, keep reading to learn more.
Given numbers are 352,769,221,663,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,769,221,663,128 is 717864576.
Find LCM of 352,769,221,663,128 with Prime Factorization
| 2 | 352, 769, 221, 663, 128 |
| 2 | 176, 769, 221, 663, 64 |
| 2 | 88, 769, 221, 663, 32 |
| 2 | 44, 769, 221, 663, 16 |
| 2 | 22, 769, 221, 663, 8 |
| 13 | 11, 769, 221, 663, 4 |
| 17 | 11, 769, 17, 51, 4 |
| 11, 769, 1, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 17 x 11 x 769 x 1 x 3 x 4 = 717864576
Therefore, the lowest common multiple of 352,769,221,663,128 is 717864576.
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.
352 x 769 x 221 x 663 x 128 = 5076738281472
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
769 : 1, 769
221 : 1, 13, 17, 221
663 : 1, 3, 13, 17, 39, 51, 221, 663
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,769,221,663,128, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
769:769
221:13x 17
663:3x 13x 17
128:2x 2x 2x 2x 2x 2x 2
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 13x 17 = 7072
Therefore, the value for common factors is 7072.
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 = 5076738281472/(1x7072)
LCM = 5076738281472/7072
LCM = 717864576
Thus, we can understand that the LCM of 352,769,221,663,128 is 717864576.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 352, 769, 221, 663, 128
1. What is the LCM of 352, 769, 221, 663, 128?
Answer: LCM of 352, 769, 221, 663, 128 is 717864576.
2. How to calculate the LCM of 352, 769, 221, 663, 128?
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 352, 769, 221, 663, 128.
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}.