Find the LCM of 211, 725, 232, 107, 667 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, 725, 232, 107, 667. So, keep reading to learn more.
Given numbers are 211,725,232,107,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,725,232,107,667 is 3011771800.
Find LCM of 211,725,232,107,667 with Prime Factorization
29 | 211, 725, 232, 107, 667 |
211, 25, 8, 107, 23 |
Multiply the prime numbers at the bottom and the left side.
29 x 211 x 25 x 8 x 107 x 23 = 3011771800
Therefore, the lowest common multiple of 211,725,232,107,667 is 3011771800.
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 725 x 232 x 107 x 667 = 2532900083800
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
725 : 1, 5, 25, 29, 145, 725
232 : 1, 2, 4, 8, 29, 58, 116, 232
107 : 1, 107
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,725,232,107,667, is 1.
Now, the common factors can be found like this.
211:211
725:5x 5x 29
232:2x 2x 2x 29
107:107
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 2532900083800/(1x841)
LCM = 2532900083800/841
LCM = 3011771800
Thus, we can understand that the LCM of 211,725,232,107,667 is 3011771800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 725, 232, 107, 667?
Answer: LCM of 211, 725, 232, 107, 667 is 3011771800.
2. How to calculate the LCM of 211, 725, 232, 107, 667?
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, 725, 232, 107, 667.
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}.