Find the LCM of 253, 424, 699, 741, 805 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 253, 424, 699, 741, 805. So, keep reading to learn more.
Given numbers are 253,424,699,741,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,424,699,741,805 is 648229141560.
Find LCM of 253,424,699,741,805 with Prime Factorization
3 | 253, 424, 699, 741, 805 |
23 | 253, 424, 233, 247, 805 |
11, 424, 233, 247, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 11 x 424 x 233 x 247 x 35 = 648229141560
Therefore, the lowest common multiple of 253,424,699,741,805 is 648229141560.
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.
253 x 424 x 699 x 741 x 805 = 44727810767640
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.
253 : 1, 11, 23, 253
424 : 1, 2, 4, 8, 53, 106, 212, 424
699 : 1, 3, 233, 699
741 : 1, 3, 13, 19, 39, 57, 247, 741
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,424,699,741,805, is 1.
Now, the common factors can be found like this.
253:11x 23
424:2x 2x 2x 53
699:3x 233
741:3x 13x 19
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23 = 69
Therefore, the value for common factors is 69.
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 = 44727810767640/(1x69)
LCM = 44727810767640/69
LCM = 648229141560
Thus, we can understand that the LCM of 253,424,699,741,805 is 648229141560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 424, 699, 741, 805?
Answer: LCM of 253, 424, 699, 741, 805 is 648229141560.
2. How to calculate the LCM of 253, 424, 699, 741, 805?
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 253, 424, 699, 741, 805.
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}.