LCM of 305, 417, 417, 240, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 417, 417, 240, 437 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 305, 417, 417, 240, 437. So, keep reading to learn more.
Given numbers are 305,417,417,240,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,417,417,240,437 is 889277520.
Find LCM of 305,417,417,240,437 with Prime Factorization
| 3 | 305, 417, 417, 240, 437 |
| 5 | 305, 139, 139, 80, 437 |
| 139 | 61, 139, 139, 16, 437 |
| 61, 1, 1, 16, 437 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 139 x 61 x 1 x 1 x 16 x 437 = 889277520
Therefore, the lowest common multiple of 305,417,417,240,437 is 889277520.
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.
305 x 417 x 417 x 240 x 437 = 5562430887600
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.
305 : 1, 5, 61, 305
417 : 1, 3, 139, 417
417 : 1, 3, 139, 417
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,417,417,240,437, is 1.
Now, the common factors can be found like this.
305:5x 61
417:3x 139
417:3x 139
240:2x 2x 2x 2x 3x 5
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 139 = 6255
Therefore, the value for common factors is 6255.
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 = 5562430887600/(1x6255)
LCM = 5562430887600/6255
LCM = 889277520
Thus, we can understand that the LCM of 305,417,417,240,437 is 889277520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 417, 417, 240, 437
1. What is the LCM of 305, 417, 417, 240, 437?
Answer: LCM of 305, 417, 417, 240, 437 is 889277520.
2. How to calculate the LCM of 305, 417, 417, 240, 437?
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 305, 417, 417, 240, 437.
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}.