Find the LCM of 709, 422, 211, 580 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 709, 422, 211, 580. So, keep reading to learn more.
Given numbers are 709,422,211,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,422,211,580 is 86767420.
Find LCM of 709,422,211,580 with Prime Factorization
2 | 709, 422, 211, 580 |
211 | 709, 211, 211, 290 |
709, 1, 1, 290 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 709 x 1 x 1 x 290 = 86767420
Therefore, the lowest common multiple of 709,422,211,580 is 86767420.
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.
709 x 422 x 211 x 580 = 36615851240
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.
709 : 1, 709
422 : 1, 2, 211, 422
211 : 1, 211
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,422,211,580, is 1.
Now, the common factors can be found like this.
709:709
422:2x 211
211:211
580:2x 2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 211 = 422
Therefore, the value for common factors is 422.
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 = 36615851240/(1x422)
LCM = 36615851240/422
LCM = 86767420
Thus, we can understand that the LCM of 709,422,211,580 is 86767420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 422, 211, 580?
Answer: LCM of 709, 422, 211, 580 is 86767420.
2. How to calculate the LCM of 709, 422, 211, 580?
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 709, 422, 211, 580.
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}.