LCM of 731, 946, 704, 737, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 946, 704, 737, 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 731, 946, 704, 737, 956. So, keep reading to learn more.
Given numbers are 731,946,704,737,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,946,704,737,956 is 8240674112.
Find LCM of 731,946,704,737,956 with Prime Factorization
| 2 | 731, 946, 704, 737, 956 |
| 2 | 731, 473, 352, 737, 478 |
| 11 | 731, 473, 176, 737, 239 |
| 43 | 731, 43, 16, 67, 239 |
| 17, 1, 16, 67, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 43 x 17 x 1 x 16 x 67 x 239 = 8240674112
Therefore, the lowest common multiple of 731,946,704,737,956 is 8240674112.
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.
731 x 946 x 704 x 737 x 956 = 343009819237888
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.
731 : 1, 17, 43, 731
946 : 1, 2, 11, 22, 43, 86, 473, 946
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
737 : 1, 11, 67, 737
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 731,946,704,737,956, is 1.
Now, the common factors can be found like this.
731:17x 43
946:2x 11x 43
704:2x 2x 2x 2x 2x 2x 11
737:11x 67
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 11x 11x 43 = 41624
Therefore, the value for common factors is 41624.
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 = 343009819237888/(1x41624)
LCM = 343009819237888/41624
LCM = 8240674112
Thus, we can understand that the LCM of 731,946,704,737,956 is 8240674112.
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FAQs on LCM of 731, 946, 704, 737, 956
1. What is the LCM of 731, 946, 704, 737, 956?
Answer: LCM of 731, 946, 704, 737, 956 is 8240674112.
2. How to calculate the LCM of 731, 946, 704, 737, 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 731, 946, 704, 737, 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}.