LCM of 723, 964, 704, 948, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 964, 704, 948, 172 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, 964, 704, 948, 172. So, keep reading to learn more.
Given numbers are 723,964,704,948,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,964,704,948,172 is 1729045824.
Find LCM of 723,964,704,948,172 with Prime Factorization
| 2 | 723, 964, 704, 948, 172 |
| 2 | 723, 482, 352, 474, 86 |
| 3 | 723, 241, 176, 237, 43 |
| 241 | 241, 241, 176, 79, 43 |
| 1, 1, 176, 79, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 1 x 1 x 176 x 79 x 43 = 1729045824
Therefore, the lowest common multiple of 723,964,704,948,172 is 1729045824.
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 964 x 704 x 948 x 172 = 80006408368128
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
964 : 1, 2, 4, 241, 482, 964
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,964,704,948,172, is 1.
Now, the common factors can be found like this.
723:3x 241
964:2x 2x 241
704:2x 2x 2x 2x 2x 2x 11
948:2x 2x 3x 79
172:2x 2x 43
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 3x 241 = 46272
Therefore, the value for common factors is 46272.
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 = 80006408368128/(1x46272)
LCM = 80006408368128/46272
LCM = 1729045824
Thus, we can understand that the LCM of 723,964,704,948,172 is 1729045824.
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FAQs on LCM of 723, 964, 704, 948, 172
1. What is the LCM of 723, 964, 704, 948, 172?
Answer: LCM of 723, 964, 704, 948, 172 is 1729045824.
2. How to calculate the LCM of 723, 964, 704, 948, 172?
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, 964, 704, 948, 172.
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}.