Find the LCM of 623, 534, 575, 829, 356 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 623, 534, 575, 829, 356. So, keep reading to learn more.
Given numbers are 623,534,575,829,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,534,575,829,356 is 3563622300.
Find LCM of 623,534,575,829,356 with Prime Factorization
2 | 623, 534, 575, 829, 356 |
89 | 623, 267, 575, 829, 178 |
7, 3, 575, 829, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 7 x 3 x 575 x 829 x 2 = 3563622300
Therefore, the lowest common multiple of 623,534,575,829,356 is 3563622300.
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.
623 x 534 x 575 x 829 x 356 = 56454904476600
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.
623 : 1, 7, 89, 623
534 : 1, 2, 3, 6, 89, 178, 267, 534
575 : 1, 5, 23, 25, 115, 575
829 : 1, 829
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,534,575,829,356, is 1.
Now, the common factors can be found like this.
623:7x 89
534:2x 3x 89
575:5x 5x 23
829:829
356:2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 89x 89 = 15842
Therefore, the value for common factors is 15842.
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 = 56454904476600/(1x15842)
LCM = 56454904476600/15842
LCM = 3563622300
Thus, we can understand that the LCM of 623,534,575,829,356 is 3563622300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 623, 534, 575, 829, 356?
Answer: LCM of 623, 534, 575, 829, 356 is 3563622300.
2. How to calculate the LCM of 623, 534, 575, 829, 356?
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 623, 534, 575, 829, 356.
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}.