LCM of 484, 713, 704, 832, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 713, 704, 832, 956 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 484, 713, 704, 832, 956. So, keep reading to learn more.
Given numbers are 484,713,704,832,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,713,704,832,956 is 17155213504.
Find LCM of 484,713,704,832,956 with Prime Factorization
| 2 | 484, 713, 704, 832, 956 |
| 2 | 242, 713, 352, 416, 478 |
| 2 | 121, 713, 176, 208, 239 |
| 2 | 121, 713, 88, 104, 239 |
| 2 | 121, 713, 44, 52, 239 |
| 2 | 121, 713, 22, 26, 239 |
| 11 | 121, 713, 11, 13, 239 |
| 1, 713, 11, 13, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 11 x 1 x 713 x 11 x 13 x 239 = 17155213504
Therefore, the lowest common multiple of 484,713,704,832,956 is 17155213504.
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.
484 x 713 x 704 x 832 x 956 = 193236324909056
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
713 : 1, 23, 31, 713
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,713,704,832,956, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
713:23x 31
704:2x 2x 2x 2x 2x 2x 11
832:2x 2x 2x 2x 2x 2x 13
956:2x 2x 239
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 2x 2x 2x 2x 11 = 11264
Therefore, the value for common factors is 11264.
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 = 193236324909056/(1x11264)
LCM = 193236324909056/11264
LCM = 17155213504
Thus, we can understand that the LCM of 484,713,704,832,956 is 17155213504.
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FAQs on LCM of 484, 713, 704, 832, 956
1. What is the LCM of 484, 713, 704, 832, 956?
Answer: LCM of 484, 713, 704, 832, 956 is 17155213504.
2. How to calculate the LCM of 484, 713, 704, 832, 956?
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 484, 713, 704, 832, 956.
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}.