LCM of 723, 704, 929, 876, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 704, 929, 876, 356 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 723, 704, 929, 876, 356. So, keep reading to learn more.
Given numbers are 723,704,929,876,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,704,929,876,356 is 3072129631296.
Find LCM of 723,704,929,876,356 with Prime Factorization
| 2 | 723, 704, 929, 876, 356 |
| 2 | 723, 352, 929, 438, 178 |
| 3 | 723, 176, 929, 219, 89 |
| 241, 176, 929, 73, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 176 x 929 x 73 x 89 = 3072129631296
Therefore, the lowest common multiple of 723,704,929,876,356 is 3072129631296.
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.
723 x 704 x 929 x 876 x 356 = 147462222302208
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.
723 : 1, 3, 241, 723
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
929 : 1, 929
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,704,929,876,356, is 1.
Now, the common factors can be found like this.
723:3x 241
704:2x 2x 2x 2x 2x 2x 11
929:929
876:2x 2x 3x 73
356:2x 2x 89
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 3 = 48
Therefore, the value for common factors is 48.
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 = 147462222302208/(1x48)
LCM = 147462222302208/48
LCM = 3072129631296
Thus, we can understand that the LCM of 723,704,929,876,356 is 3072129631296.
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FAQs on LCM of 723, 704, 929, 876, 356
1. What is the LCM of 723, 704, 929, 876, 356?
Answer: LCM of 723, 704, 929, 876, 356 is 3072129631296.
2. How to calculate the LCM of 723, 704, 929, 876, 356?
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 723, 704, 929, 876, 356.
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}.