LCM of 217, 305, 372, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 305, 372, 945 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 217, 305, 372, 945. So, keep reading to learn more.
Given numbers are 217,305,372,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,305,372,945 is 7147980.
Find LCM of 217,305,372,945 with Prime Factorization
| 3 | 217, 305, 372, 945 |
| 5 | 217, 305, 124, 315 |
| 7 | 217, 61, 124, 63 |
| 31 | 31, 61, 124, 9 |
| 1, 61, 4, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 31 x 1 x 61 x 4 x 9 = 7147980
Therefore, the lowest common multiple of 217,305,372,945 is 7147980.
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.
217 x 305 x 372 x 945 = 23266674900
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.
217 : 1, 7, 31, 217
305 : 1, 5, 61, 305
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,305,372,945, is 1.
Now, the common factors can be found like this.
217:7x 31
305:5x 61
372:2x 2x 3x 31
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 31 = 3255
Therefore, the value for common factors is 3255.
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 = 23266674900/(1x3255)
LCM = 23266674900/3255
LCM = 7147980
Thus, we can understand that the LCM of 217,305,372,945 is 7147980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 305, 372, 945
1. What is the LCM of 217, 305, 372, 945?
Answer: LCM of 217, 305, 372, 945 is 7147980.
2. How to calculate the LCM of 217, 305, 372, 945?
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 217, 305, 372, 945.
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}.