LCM of 451, 408, 468, 796, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 408, 468, 796, 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 451, 408, 468, 796, 956. So, keep reading to learn more.
Given numbers are 451,408,468,796,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,408,468,796,956 is 341312575032.
Find LCM of 451,408,468,796,956 with Prime Factorization
| 2 | 451, 408, 468, 796, 956 |
| 2 | 451, 204, 234, 398, 478 |
| 3 | 451, 102, 117, 199, 239 |
| 451, 34, 39, 199, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 451 x 34 x 39 x 199 x 239 = 341312575032
Therefore, the lowest common multiple of 451,408,468,796,956 is 341312575032.
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.
451 x 408 x 468 x 796 x 956 = 65532014406144
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.
451 : 1, 11, 41, 451
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
796 : 1, 2, 4, 199, 398, 796
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 451,408,468,796,956, is 1.
Now, the common factors can be found like this.
451:11x 41
408:2x 2x 2x 3x 17
468:2x 2x 3x 3x 13
796:2x 2x 199
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 3 = 192
Therefore, the value for common factors is 192.
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 = 65532014406144/(1x192)
LCM = 65532014406144/192
LCM = 341312575032
Thus, we can understand that the LCM of 451,408,468,796,956 is 341312575032.
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FAQs on LCM of 451, 408, 468, 796, 956
1. What is the LCM of 451, 408, 468, 796, 956?
Answer: LCM of 451, 408, 468, 796, 956 is 341312575032.
2. How to calculate the LCM of 451, 408, 468, 796, 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 451, 408, 468, 796, 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}.