LCM of 723, 964, 507, 315, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 964, 507, 315, 466 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, 507, 315, 466. So, keep reading to learn more.
Given numbers are 723,964,507,315,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,964,507,315,466 is 11957219820.
Find LCM of 723,964,507,315,466 with Prime Factorization
| 2 | 723, 964, 507, 315, 466 |
| 3 | 723, 482, 507, 315, 233 |
| 241 | 241, 482, 169, 105, 233 |
| 1, 2, 169, 105, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 1 x 2 x 169 x 105 x 233 = 11957219820
Therefore, the lowest common multiple of 723,964,507,315,466 is 11957219820.
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 507 x 315 x 466 = 51870419579160
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
507 : 1, 3, 13, 39, 169, 507
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,964,507,315,466, is 1.
Now, the common factors can be found like this.
723:3x 241
964:2x 2x 241
507:3x 13x 13
315:3x 3x 5x 7
466:2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 241 = 4338
Therefore, the value for common factors is 4338.
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 = 51870419579160/(1x4338)
LCM = 51870419579160/4338
LCM = 11957219820
Thus, we can understand that the LCM of 723,964,507,315,466 is 11957219820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 964, 507, 315, 466
1. What is the LCM of 723, 964, 507, 315, 466?
Answer: LCM of 723, 964, 507, 315, 466 is 11957219820.
2. How to calculate the LCM of 723, 964, 507, 315, 466?
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, 507, 315, 466.
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}.