LCM of 755, 445, 533, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 445, 533, 623 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 755, 445, 533, 623. So, keep reading to learn more.
Given numbers are 755,445,533,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,445,533,623 is 250704545.
Find LCM of 755,445,533,623 with Prime Factorization
| 5 | 755, 445, 533, 623 |
| 89 | 151, 89, 533, 623 |
| 151, 1, 533, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 89 x 151 x 1 x 533 x 7 = 250704545
Therefore, the lowest common multiple of 755,445,533,623 is 250704545.
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.
755 x 445 x 533 x 623 = 111563522525
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.
755 : 1, 5, 151, 755
445 : 1, 5, 89, 445
533 : 1, 13, 41, 533
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,445,533,623, is 1.
Now, the common factors can be found like this.
755:5x 151
445:5x 89
533:13x 41
623:7x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 89 = 445
Therefore, the value for common factors is 445.
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 = 111563522525/(1x445)
LCM = 111563522525/445
LCM = 250704545
Thus, we can understand that the LCM of 755,445,533,623 is 250704545.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 755, 445, 533, 623
1. What is the LCM of 755, 445, 533, 623?
Answer: LCM of 755, 445, 533, 623 is 250704545.
2. How to calculate the LCM of 755, 445, 533, 623?
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 755, 445, 533, 623.
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}.