LCM of 479, 417, 170, 701, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 417, 170, 701, 629 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 479, 417, 170, 701, 629. So, keep reading to learn more.
Given numbers are 479,417,170,701,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,417,170,701,629 is 880724812470.
Find LCM of 479,417,170,701,629 with Prime Factorization
| 17 | 479, 417, 170, 701, 629 |
| 479, 417, 10, 701, 37 |
Multiply the prime numbers at the bottom and the left side.
17 x 479 x 417 x 10 x 701 x 37 = 880724812470
Therefore, the lowest common multiple of 479,417,170,701,629 is 880724812470.
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.
479 x 417 x 170 x 701 x 629 = 14972321811990
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.
479 : 1, 479
417 : 1, 3, 139, 417
170 : 1, 2, 5, 10, 17, 34, 85, 170
701 : 1, 701
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,417,170,701,629, is 1.
Now, the common factors can be found like this.
479:479
417:3x 139
170:2x 5x 17
701:701
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 14972321811990/(1x17)
LCM = 14972321811990/17
LCM = 880724812470
Thus, we can understand that the LCM of 479,417,170,701,629 is 880724812470.
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FAQs on LCM of 479, 417, 170, 701, 629
1. What is the LCM of 479, 417, 170, 701, 629?
Answer: LCM of 479, 417, 170, 701, 629 is 880724812470.
2. How to calculate the LCM of 479, 417, 170, 701, 629?
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 479, 417, 170, 701, 629.
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}.