LCM of 180, 767, 156, 949, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 767, 156, 949, 195 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 180, 767, 156, 949, 195. So, keep reading to learn more.
Given numbers are 180,767,156,949,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,767,156,949,195 is 10078380.
Find LCM of 180,767,156,949,195 with Prime Factorization
| 2 | 180, 767, 156, 949, 195 |
| 2 | 90, 767, 78, 949, 195 |
| 3 | 45, 767, 39, 949, 195 |
| 5 | 15, 767, 13, 949, 65 |
| 13 | 3, 767, 13, 949, 13 |
| 3, 59, 1, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 3 x 59 x 1 x 73 x 1 = 10078380
Therefore, the lowest common multiple of 180,767,156,949,195 is 10078380.
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.
180 x 767 x 156 x 949 x 195 = 3985596154800
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
767 : 1, 13, 59, 767
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
949 : 1, 13, 73, 949
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,767,156,949,195, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
767:13x 59
156:2x 2x 3x 13
949:13x 73
195:3x 5x 13
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 3x 5x 13x 13x 13 = 395460
Therefore, the value for common factors is 395460.
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 = 3985596154800/(1x395460)
LCM = 3985596154800/395460
LCM = 10078380
Thus, we can understand that the LCM of 180,767,156,949,195 is 10078380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 180, 767, 156, 949, 195
1. What is the LCM of 180, 767, 156, 949, 195?
Answer: LCM of 180, 767, 156, 949, 195 is 10078380.
2. How to calculate the LCM of 180, 767, 156, 949, 195?
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 180, 767, 156, 949, 195.
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}.