LCM of 417, 240, 580, 672, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 240, 580, 672, 476 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 417, 240, 580, 672, 476. So, keep reading to learn more.
Given numbers are 417,240,580,672,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,240,580,672,476 is 230250720.
Find LCM of 417,240,580,672,476 with Prime Factorization
| 2 | 417, 240, 580, 672, 476 |
| 2 | 417, 120, 290, 336, 238 |
| 2 | 417, 60, 145, 168, 119 |
| 2 | 417, 30, 145, 84, 119 |
| 3 | 417, 15, 145, 42, 119 |
| 5 | 139, 5, 145, 14, 119 |
| 7 | 139, 1, 29, 14, 119 |
| 139, 1, 29, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 139 x 1 x 29 x 2 x 17 = 230250720
Therefore, the lowest common multiple of 417,240,580,672,476 is 230250720.
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.
417 x 240 x 580 x 672 x 476 = 18567418060800
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.
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
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,240,580,672,476, is 1.
Now, the common factors can be found like this.
417:3x 139
240:2x 2x 2x 2x 3x 5
580:2x 2x 5x 29
672:2x 2x 2x 2x 2x 3x 7
476:2x 2x 7x 17
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 2x 2x 2x 2x 2x 3x 3x 5x 7 = 80640
Therefore, the value for common factors is 80640.
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 = 18567418060800/(1x80640)
LCM = 18567418060800/80640
LCM = 230250720
Thus, we can understand that the LCM of 417,240,580,672,476 is 230250720.
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FAQs on LCM of 417, 240, 580, 672, 476
1. What is the LCM of 417, 240, 580, 672, 476?
Answer: LCM of 417, 240, 580, 672, 476 is 230250720.
2. How to calculate the LCM of 417, 240, 580, 672, 476?
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 417, 240, 580, 672, 476.
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}.