Find the LCM of 479, 713, 598, 413, 351 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, 713, 598, 413, 351. So, keep reading to learn more.
Given numbers are 479,713,598,413,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,713,598,413,351 is 99017557002.
Find LCM of 479,713,598,413,351 with Prime Factorization
13 | 479, 713, 598, 413, 351 |
23 | 479, 713, 46, 413, 27 |
479, 31, 2, 413, 27 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 479 x 31 x 2 x 413 x 27 = 99017557002
Therefore, the lowest common multiple of 479,713,598,413,351 is 99017557002.
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 713 x 598 x 413 x 351 = 29606249543598
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
713 : 1, 23, 31, 713
598 : 1, 2, 13, 23, 26, 46, 299, 598
413 : 1, 7, 59, 413
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,713,598,413,351, is 1.
Now, the common factors can be found like this.
479:479
713:23x 31
598:2x 13x 23
413:7x 59
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 29606249543598/(1x299)
LCM = 29606249543598/299
LCM = 99017557002
Thus, we can understand that the LCM of 479,713,598,413,351 is 99017557002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 713, 598, 413, 351?
Answer: LCM of 479, 713, 598, 413, 351 is 99017557002.
2. How to calculate the LCM of 479, 713, 598, 413, 351?
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, 713, 598, 413, 351.
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}.