Find the LCM of 606, 264, 810, 492, 970 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 606, 264, 810, 492, 970. So, keep reading to learn more.
Given numbers are 606,264,810,492,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,264,810,492,970 is 14315768280.
Find LCM of 606,264,810,492,970 with Prime Factorization
2 | 606, 264, 810, 492, 970 |
2 | 303, 132, 405, 246, 485 |
3 | 303, 66, 405, 123, 485 |
5 | 101, 22, 135, 41, 485 |
101, 22, 27, 41, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 101 x 22 x 27 x 41 x 97 = 14315768280
Therefore, the lowest common multiple of 606,264,810,492,970 is 14315768280.
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.
606 x 264 x 810 x 492 x 970 = 61844118969600
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
970 : 1, 2, 5, 10, 97, 194, 485, 970
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,264,810,492,970, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
264:2x 2x 2x 3x 11
810:2x 3x 3x 3x 3x 5
492:2x 2x 3x 41
970:2x 5x 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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 61844118969600/(2x2160)
LCM = 61844118969600/4320
LCM = 14315768280
Thus, we can understand that the LCM of 606,264,810,492,970 is 14315768280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 264, 810, 492, 970?
Answer: LCM of 606, 264, 810, 492, 970 is 14315768280.
2. How to calculate the LCM of 606, 264, 810, 492, 970?
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 606, 264, 810, 492, 970.
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}.