LCM of 283, 656, 344, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 656, 344, 973 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 283, 656, 344, 973. So, keep reading to learn more.
Given numbers are 283,656,344,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,656,344,973 is 7767326672.
Find LCM of 283,656,344,973 with Prime Factorization
| 2 | 283, 656, 344, 973 |
| 2 | 283, 328, 172, 973 |
| 2 | 283, 164, 86, 973 |
| 283, 82, 43, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 283 x 82 x 43 x 973 = 7767326672
Therefore, the lowest common multiple of 283,656,344,973 is 7767326672.
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.
283 x 656 x 344 x 973 = 62138613376
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.
283 : 1, 283
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
344 : 1, 2, 4, 8, 43, 86, 172, 344
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,656,344,973, is 1.
Now, the common factors can be found like this.
283:283
656:2x 2x 2x 2x 41
344:2x 2x 2x 43
973:7x 139
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 2 = 8
Therefore, the value for common factors is 8.
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 = 62138613376/(1x8)
LCM = 62138613376/8
LCM = 7767326672
Thus, we can understand that the LCM of 283,656,344,973 is 7767326672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 656, 344, 973
1. What is the LCM of 283, 656, 344, 973?
Answer: LCM of 283, 656, 344, 973 is 7767326672.
2. How to calculate the LCM of 283, 656, 344, 973?
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 283, 656, 344, 973.
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}.