LCM of 417, 424, 206, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 424, 206, 708 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, 424, 206, 708. So, keep reading to learn more.
Given numbers are 417,424,206,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,424,206,708 is 1074462216.
Find LCM of 417,424,206,708 with Prime Factorization
| 2 | 417, 424, 206, 708 |
| 2 | 417, 212, 103, 354 |
| 3 | 417, 106, 103, 177 |
| 139, 106, 103, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 106 x 103 x 59 = 1074462216
Therefore, the lowest common multiple of 417,424,206,708 is 1074462216.
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 424 x 206 x 708 = 25787093184
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
206 : 1, 2, 103, 206
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,424,206,708, is 1.
Now, the common factors can be found like this.
417:3x 139
424:2x 2x 2x 53
206:2x 103
708:2x 2x 3x 59
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 3 = 24
Therefore, the value for common factors is 24.
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 = 25787093184/(1x24)
LCM = 25787093184/24
LCM = 1074462216
Thus, we can understand that the LCM of 417,424,206,708 is 1074462216.
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FAQs on LCM of 417, 424, 206, 708
1. What is the LCM of 417, 424, 206, 708?
Answer: LCM of 417, 424, 206, 708 is 1074462216.
2. How to calculate the LCM of 417, 424, 206, 708?
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, 424, 206, 708.
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}.