Find the LCM of 209, 648, 505, 824, 523 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 209, 648, 505, 824, 523. So, keep reading to learn more.
Given numbers are 209,648,505,824,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,648,505,824,523 is 3684271136040.
Find LCM of 209,648,505,824,523 with Prime Factorization
2 | 209, 648, 505, 824, 523 |
2 | 209, 324, 505, 412, 523 |
2 | 209, 162, 505, 206, 523 |
209, 81, 505, 103, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 209 x 81 x 505 x 103 x 523 = 3684271136040
Therefore, the lowest common multiple of 209,648,505,824,523 is 3684271136040.
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.
209 x 648 x 505 x 824 x 523 = 29474169088320
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.
209 : 1, 11, 19, 209
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
505 : 1, 5, 101, 505
824 : 1, 2, 4, 8, 103, 206, 412, 824
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,648,505,824,523, is 1.
Now, the common factors can be found like this.
209:11x 19
648:2x 2x 2x 3x 3x 3x 3
505:5x 101
824:2x 2x 2x 103
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 29474169088320/(1x8)
LCM = 29474169088320/8
LCM = 3684271136040
Thus, we can understand that the LCM of 209,648,505,824,523 is 3684271136040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 648, 505, 824, 523?
Answer: LCM of 209, 648, 505, 824, 523 is 3684271136040.
2. How to calculate the LCM of 209, 648, 505, 824, 523?
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 209, 648, 505, 824, 523.
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}.