LCM of 7, 417, 202, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7, 417, 202, 462 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 7, 417, 202, 462. So, keep reading to learn more.
Given numbers are 7,417,202,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7,417,202,462 is 6486018.
Find LCM of 7,417,202,462 with Prime Factorization
| 2 | 7, 417, 202, 462 |
| 3 | 7, 417, 101, 231 |
| 7 | 7, 139, 101, 77 |
| 1, 139, 101, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 1 x 139 x 101 x 11 = 6486018
Therefore, the lowest common multiple of 7,417,202,462 is 6486018.
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.
7 x 417 x 202 x 462 = 272412756
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.
7 : 1, 7
417 : 1, 3, 139, 417
202 : 1, 2, 101, 202
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,417,202,462, is 1.
Now, the common factors can be found like this.
7:7
417:3x 139
202:2x 101
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 272412756/(1x42)
LCM = 272412756/42
LCM = 6486018
Thus, we can understand that the LCM of 7,417,202,462 is 6486018.
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FAQs on LCM of 7, 417, 202, 462
1. What is the LCM of 7, 417, 202, 462?
Answer: LCM of 7, 417, 202, 462 is 6486018.
2. How to calculate the LCM of 7, 417, 202, 462?
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 7, 417, 202, 462.
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}.