Find the LCM of 211, 807, 377, 832, 180 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, 807, 377, 832, 180. So, keep reading to learn more.
Given numbers are 211,807,377,832,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,807,377,832,180 is 61626651840.
Find LCM of 211,807,377,832,180 with Prime Factorization
2 | 211, 807, 377, 832, 180 |
2 | 211, 807, 377, 416, 90 |
3 | 211, 807, 377, 208, 45 |
13 | 211, 269, 377, 208, 15 |
211, 269, 29, 16, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 211 x 269 x 29 x 16 x 15 = 61626651840
Therefore, the lowest common multiple of 211,807,377,832,180 is 61626651840.
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 807 x 377 x 832 x 180 = 9613757687040
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
807 : 1, 3, 269, 807
377 : 1, 13, 29, 377
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,807,377,832,180, is 1.
Now, the common factors can be found like this.
211:211
807:3x 269
377:13x 29
832:2x 2x 2x 2x 2x 2x 13
180:2x 2x 3x 3x 5
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 9613757687040/(1x156)
LCM = 9613757687040/156
LCM = 61626651840
Thus, we can understand that the LCM of 211,807,377,832,180 is 61626651840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 807, 377, 832, 180?
Answer: LCM of 211, 807, 377, 832, 180 is 61626651840.
2. How to calculate the LCM of 211, 807, 377, 832, 180?
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, 807, 377, 832, 180.
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}.