LCM of 531, 479, 478, 107, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 479, 478, 107, 321 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 531, 479, 478, 107, 321. So, keep reading to learn more.
Given numbers are 531,479,478,107,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,479,478,107,321 is 13008933954.
Find LCM of 531,479,478,107,321 with Prime Factorization
| 3 | 531, 479, 478, 107, 321 |
| 107 | 177, 479, 478, 107, 107 |
| 177, 479, 478, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 177 x 479 x 478 x 1 x 1 = 13008933954
Therefore, the lowest common multiple of 531,479,478,107,321 is 13008933954.
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.
531 x 479 x 478 x 107 x 321 = 4175867799234
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.
531 : 1, 3, 9, 59, 177, 531
479 : 1, 479
478 : 1, 2, 239, 478
107 : 1, 107
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,479,478,107,321, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
479:479
478:2x 239
107:107
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 107 = 321
Therefore, the value for common factors is 321.
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 = 4175867799234/(1x321)
LCM = 4175867799234/321
LCM = 13008933954
Thus, we can understand that the LCM of 531,479,478,107,321 is 13008933954.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 531, 479, 478, 107, 321
1. What is the LCM of 531, 479, 478, 107, 321?
Answer: LCM of 531, 479, 478, 107, 321 is 13008933954.
2. How to calculate the LCM of 531, 479, 478, 107, 321?
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 531, 479, 478, 107, 321.
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}.