Find the LCM of 321, 706, 867, 540, 808 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 321, 706, 867, 540, 808. So, keep reading to learn more.
Given numbers are 321,706,867,540,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,706,867,540,808 is 1190697536520.
Find LCM of 321,706,867,540,808 with Prime Factorization
2 | 321, 706, 867, 540, 808 |
2 | 321, 353, 867, 270, 404 |
3 | 321, 353, 867, 135, 202 |
107, 353, 289, 45, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 353 x 289 x 45 x 202 = 1190697536520
Therefore, the lowest common multiple of 321,706,867,540,808 is 1190697536520.
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.
321 x 706 x 867 x 540 x 808 = 85730222629440
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.
321 : 1, 3, 107, 321
706 : 1, 2, 353, 706
867 : 1, 3, 17, 51, 289, 867
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,706,867,540,808, is 1.
Now, the common factors can be found like this.
321:3x 107
706:2x 353
867:3x 17x 17
540:2x 2x 3x 3x 3x 5
808:2x 2x 2x 101
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 85730222629440/(1x72)
LCM = 85730222629440/72
LCM = 1190697536520
Thus, we can understand that the LCM of 321,706,867,540,808 is 1190697536520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 706, 867, 540, 808?
Answer: LCM of 321, 706, 867, 540, 808 is 1190697536520.
2. How to calculate the LCM of 321, 706, 867, 540, 808?
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 321, 706, 867, 540, 808.
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}.