LCM of 315, 234, 973, 366, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 234, 973, 366, 683 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 315, 234, 973, 366, 683. So, keep reading to learn more.
Given numbers are 315,234,973,366,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,234,973,366,683 is 47429575830.
Find LCM of 315,234,973,366,683 with Prime Factorization
| 2 | 315, 234, 973, 366, 683 |
| 3 | 315, 117, 973, 183, 683 |
| 3 | 105, 39, 973, 61, 683 |
| 7 | 35, 13, 973, 61, 683 |
| 5, 13, 139, 61, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 5 x 13 x 139 x 61 x 683 = 47429575830
Therefore, the lowest common multiple of 315,234,973,366,683 is 47429575830.
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.
315 x 234 x 973 x 366 x 683 = 17928379663740
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
973 : 1, 7, 139, 973
366 : 1, 2, 3, 6, 61, 122, 183, 366
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,234,973,366,683, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
234:2x 3x 3x 13
973:7x 139
366:2x 3x 61
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 17928379663740/(1x378)
LCM = 17928379663740/378
LCM = 47429575830
Thus, we can understand that the LCM of 315,234,973,366,683 is 47429575830.
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FAQs on LCM of 315, 234, 973, 366, 683
1. What is the LCM of 315, 234, 973, 366, 683?
Answer: LCM of 315, 234, 973, 366, 683 is 47429575830.
2. How to calculate the LCM of 315, 234, 973, 366, 683?
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 315, 234, 973, 366, 683.
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}.