Find the LCM of 211, 290, 951, 740, 636 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, 290, 951, 740, 636. So, keep reading to learn more.
Given numbers are 211,290,951,740,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,290,951,740,636 is 228227808180.
Find LCM of 211,290,951,740,636 with Prime Factorization
2 | 211, 290, 951, 740, 636 |
2 | 211, 145, 951, 370, 318 |
3 | 211, 145, 951, 185, 159 |
5 | 211, 145, 317, 185, 53 |
211, 29, 317, 37, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 211 x 29 x 317 x 37 x 53 = 228227808180
Therefore, the lowest common multiple of 211,290,951,740,636 is 228227808180.
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 290 x 951 x 740 x 636 = 27387336981600
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
951 : 1, 3, 317, 951
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,290,951,740,636, is 1.
Now, the common factors can be found like this.
211:211
290:2x 5x 29
951:3x 317
740:2x 2x 5x 37
636:2x 2x 3x 53
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 27387336981600/(1x120)
LCM = 27387336981600/120
LCM = 228227808180
Thus, we can understand that the LCM of 211,290,951,740,636 is 228227808180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 290, 951, 740, 636?
Answer: LCM of 211, 290, 951, 740, 636 is 228227808180.
2. How to calculate the LCM of 211, 290, 951, 740, 636?
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, 290, 951, 740, 636.
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}.