LCM of 417, 417, 624, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 417, 624, 741 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, 417, 624, 741. So, keep reading to learn more.
Given numbers are 417,417,624,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,417,624,741 is 1647984.
Find LCM of 417,417,624,741 with Prime Factorization
| 3 | 417, 417, 624, 741 |
| 13 | 139, 139, 208, 247 |
| 139 | 139, 139, 16, 19 |
| 1, 1, 16, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 139 x 1 x 1 x 16 x 19 = 1647984
Therefore, the lowest common multiple of 417,417,624,741 is 1647984.
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 417 x 624 x 741 = 80403491376
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
417 : 1, 3, 139, 417
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
741 : 1, 3, 13, 19, 39, 57, 247, 741
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,417,624,741, is 3.
Now, the common factors can be found like this.
417:3x 139
417:3x 139
624:2x 2x 2x 2x 3x 13
741:3x 13x 19
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 13x 139 = 16263
Therefore, the value for common factors is 16263.
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 = 80403491376/(3x16263)
LCM = 80403491376/48789
LCM = 1647984
Thus, we can understand that the LCM of 417,417,624,741 is 1647984.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 417, 624, 741
1. What is the LCM of 417, 417, 624, 741?
Answer: LCM of 417, 417, 624, 741 is 1647984.
2. How to calculate the LCM of 417, 417, 624, 741?
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, 417, 624, 741.
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}.