LCM of 293, 512, 704, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 512, 704, 752 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 293, 512, 704, 752. So, keep reading to learn more.
Given numbers are 293,512,704,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,512,704,752 is 77558272.
Find LCM of 293,512,704,752 with Prime Factorization
| 2 | 293, 512, 704, 752 |
| 2 | 293, 256, 352, 376 |
| 2 | 293, 128, 176, 188 |
| 2 | 293, 64, 88, 94 |
| 2 | 293, 32, 44, 47 |
| 2 | 293, 16, 22, 47 |
| 293, 8, 11, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 293 x 8 x 11 x 47 = 77558272
Therefore, the lowest common multiple of 293,512,704,752 is 77558272.
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.
293 x 512 x 704 x 752 = 79419670528
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.
293 : 1, 293
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,512,704,752, is 1.
Now, the common factors can be found like this.
293:293
512:2x 2x 2x 2x 2x 2x 2x 2x 2
704:2x 2x 2x 2x 2x 2x 11
752:2x 2x 2x 2x 47
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 2x 2 = 1024
Therefore, the value for common factors is 1024.
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 = 79419670528/(1x1024)
LCM = 79419670528/1024
LCM = 77558272
Thus, we can understand that the LCM of 293,512,704,752 is 77558272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 293, 512, 704, 752
1. What is the LCM of 293, 512, 704, 752?
Answer: LCM of 293, 512, 704, 752 is 77558272.
2. How to calculate the LCM of 293, 512, 704, 752?
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 293, 512, 704, 752.
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}.