LCM of 467, 813, 924, 704, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 813, 924, 704, 286 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 467, 813, 924, 704, 286. So, keep reading to learn more.
Given numbers are 467,813,924,704,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,813,924,704,286 is 24323242944.
Find LCM of 467,813,924,704,286 with Prime Factorization
| 2 | 467, 813, 924, 704, 286 |
| 2 | 467, 813, 462, 352, 143 |
| 3 | 467, 813, 231, 176, 143 |
| 11 | 467, 271, 77, 176, 143 |
| 467, 271, 7, 16, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 467 x 271 x 7 x 16 x 13 = 24323242944
Therefore, the lowest common multiple of 467,813,924,704,286 is 24323242944.
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.
467 x 813 x 924 x 704 x 286 = 70634697509376
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.
467 : 1, 467
813 : 1, 3, 271, 813
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,813,924,704,286, is 1.
Now, the common factors can be found like this.
467:467
813:3x 271
924:2x 2x 3x 7x 11
704:2x 2x 2x 2x 2x 2x 11
286:2x 11x 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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 70634697509376/(1x2904)
LCM = 70634697509376/2904
LCM = 24323242944
Thus, we can understand that the LCM of 467,813,924,704,286 is 24323242944.
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FAQs on LCM of 467, 813, 924, 704, 286
1. What is the LCM of 467, 813, 924, 704, 286?
Answer: LCM of 467, 813, 924, 704, 286 is 24323242944.
2. How to calculate the LCM of 467, 813, 924, 704, 286?
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 467, 813, 924, 704, 286.
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}.