Find the LCM of 806, 370, 564, 182, 388 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 806, 370, 564, 182, 388. So, keep reading to learn more.
Given numbers are 806,370,564,182,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,370,564,182,388 is 28551284580.
Find LCM of 806,370,564,182,388 with Prime Factorization
2 | 806, 370, 564, 182, 388 |
2 | 403, 185, 282, 91, 194 |
13 | 403, 185, 141, 91, 97 |
31, 185, 141, 7, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 185 x 141 x 7 x 97 = 28551284580
Therefore, the lowest common multiple of 806,370,564,182,388 is 28551284580.
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.
806 x 370 x 564 x 182 x 388 = 11877334385280
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
370 : 1, 2, 5, 10, 37, 74, 185, 370
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
182 : 1, 2, 7, 13, 14, 26, 91, 182
388 : 1, 2, 4, 97, 194, 388
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,370,564,182,388, is 2.
Now, the common factors can be found like this.
806:2x 13x 31
370:2x 5x 37
564:2x 2x 3x 47
182:2x 7x 13
388:2x 2x 97
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 11877334385280/(2x208)
LCM = 11877334385280/416
LCM = 28551284580
Thus, we can understand that the LCM of 806,370,564,182,388 is 28551284580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 370, 564, 182, 388?
Answer: LCM of 806, 370, 564, 182, 388 is 28551284580.
2. How to calculate the LCM of 806, 370, 564, 182, 388?
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 806, 370, 564, 182, 388.
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}.