Find the LCM of 211, 265, 120, 546, 589 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 211, 265, 120, 546, 589. So, keep reading to learn more.
Given numbers are 211,265,120,546,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,265,120,546,589 is 71927714040.
Find LCM of 211,265,120,546,589 with Prime Factorization
2 | 211, 265, 120, 546, 589 |
3 | 211, 265, 60, 273, 589 |
5 | 211, 265, 20, 91, 589 |
211, 53, 4, 91, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 211 x 53 x 4 x 91 x 589 = 71927714040
Therefore, the lowest common multiple of 211,265,120,546,589 is 71927714040.
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.
211 x 265 x 120 x 546 x 589 = 2157831421200
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.
211 : 1, 211
265 : 1, 5, 53, 265
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,265,120,546,589, is 1.
Now, the common factors can be found like this.
211:211
265:5x 53
120:2x 2x 2x 3x 5
546:2x 3x 7x 13
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 2157831421200/(1x30)
LCM = 2157831421200/30
LCM = 71927714040
Thus, we can understand that the LCM of 211,265,120,546,589 is 71927714040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 265, 120, 546, 589?
Answer: LCM of 211, 265, 120, 546, 589 is 71927714040.
2. How to calculate the LCM of 211, 265, 120, 546, 589?
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 211, 265, 120, 546, 589.
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}.