LCM of 533, 889, 102, 459, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 889, 102, 459, 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 533, 889, 102, 459, 629. So, keep reading to learn more.
Given numbers are 533,889,102,459,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,889,102,459,629 is 16094347542.
Find LCM of 533,889,102,459,629 with Prime Factorization
| 3 | 533, 889, 102, 459, 629 |
| 17 | 533, 889, 34, 153, 629 |
| 533, 889, 2, 9, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 533 x 889 x 2 x 9 x 37 = 16094347542
Therefore, the lowest common multiple of 533,889,102,459,629 is 16094347542.
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.
533 x 889 x 102 x 459 x 629 = 13953799318914
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.
533 : 1, 13, 41, 533
889 : 1, 7, 127, 889
102 : 1, 2, 3, 6, 17, 34, 51, 102
459 : 1, 3, 9, 17, 27, 51, 153, 459
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,889,102,459,629, is 1.
Now, the common factors can be found like this.
533:13x 41
889:7x 127
102:2x 3x 17
459:3x 3x 3x 17
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.
3x 17x 17 = 867
Therefore, the value for common factors is 867.
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 = 13953799318914/(1x867)
LCM = 13953799318914/867
LCM = 16094347542
Thus, we can understand that the LCM of 533,889,102,459,629 is 16094347542.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 533, 889, 102, 459, 629
1. What is the LCM of 533, 889, 102, 459, 629?
Answer: LCM of 533, 889, 102, 459, 629 is 16094347542.
2. How to calculate the LCM of 533, 889, 102, 459, 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 533, 889, 102, 459, 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}.