LCM of 723, 576, 916, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 576, 916, 312 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, 576, 916, 312. So, keep reading to learn more.
Given numbers are 723,576,916,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,576,916,312 is 413255232.
Find LCM of 723,576,916,312 with Prime Factorization
| 2 | 723, 576, 916, 312 |
| 2 | 723, 288, 458, 156 |
| 2 | 723, 144, 229, 78 |
| 3 | 723, 72, 229, 39 |
| 241, 24, 229, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 241 x 24 x 229 x 13 = 413255232
Therefore, the lowest common multiple of 723,576,916,312 is 413255232.
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 576 x 916 x 312 = 119017506816
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
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
916 : 1, 2, 4, 229, 458, 916
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,576,916,312, is 1.
Now, the common factors can be found like this.
723:3x 241
576:2x 2x 2x 2x 2x 2x 3x 3
916:2x 2x 229
312:2x 2x 2x 3x 13
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 119017506816/(1x288)
LCM = 119017506816/288
LCM = 413255232
Thus, we can understand that the LCM of 723,576,916,312 is 413255232.
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FAQs on LCM of 723, 576, 916, 312
1. What is the LCM of 723, 576, 916, 312?
Answer: LCM of 723, 576, 916, 312 is 413255232.
2. How to calculate the LCM of 723, 576, 916, 312?
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, 576, 916, 312.
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}.