LCM of 535, 614, 460, 629, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 614, 460, 629, 559 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 535, 614, 460, 629, 559. So, keep reading to learn more.
Given numbers are 535,614,460,629,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,614,460,629,559 is 5313032079940.
Find LCM of 535,614,460,629,559 with Prime Factorization
| 2 | 535, 614, 460, 629, 559 |
| 5 | 535, 307, 230, 629, 559 |
| 107, 307, 46, 629, 559 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 107 x 307 x 46 x 629 x 559 = 5313032079940
Therefore, the lowest common multiple of 535,614,460,629,559 is 5313032079940.
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.
535 x 614 x 460 x 629 x 559 = 53130320799400
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.
535 : 1, 5, 107, 535
614 : 1, 2, 307, 614
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
629 : 1, 17, 37, 629
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,614,460,629,559, is 1.
Now, the common factors can be found like this.
535:5x 107
614:2x 307
460:2x 2x 5x 23
629:17x 37
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 53130320799400/(1x10)
LCM = 53130320799400/10
LCM = 5313032079940
Thus, we can understand that the LCM of 535,614,460,629,559 is 5313032079940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 614, 460, 629, 559
1. What is the LCM of 535, 614, 460, 629, 559?
Answer: LCM of 535, 614, 460, 629, 559 is 5313032079940.
2. How to calculate the LCM of 535, 614, 460, 629, 559?
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 535, 614, 460, 629, 559.
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}.