Find the LCM of 236, 810, 977, 590, 670 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 236, 810, 977, 590, 670. So, keep reading to learn more.
Given numbers are 236,810,977,590,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,810,977,590,670 is 6256571220.
Find LCM of 236,810,977,590,670 with Prime Factorization
2 | 236, 810, 977, 590, 670 |
5 | 118, 405, 977, 295, 335 |
59 | 118, 81, 977, 59, 67 |
2, 81, 977, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 2 x 81 x 977 x 1 x 67 = 6256571220
Therefore, the lowest common multiple of 236,810,977,590,670 is 6256571220.
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.
236 x 810 x 977 x 590 x 670 = 73827540396000
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.
236 : 1, 2, 4, 59, 118, 236
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
977 : 1, 977
590 : 1, 2, 5, 10, 59, 118, 295, 590
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,810,977,590,670, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
810:2x 3x 3x 3x 3x 5
977:977
590:2x 5x 59
670:2x 5x 67
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 5x 5x 59 = 11800
Therefore, the value for common factors is 11800.
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 = 73827540396000/(1x11800)
LCM = 73827540396000/11800
LCM = 6256571220
Thus, we can understand that the LCM of 236,810,977,590,670 is 6256571220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 810, 977, 590, 670?
Answer: LCM of 236, 810, 977, 590, 670 is 6256571220.
2. How to calculate the LCM of 236, 810, 977, 590, 670?
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 236, 810, 977, 590, 670.
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}.