LCM of 669, 814, 162, 242, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 814, 162, 242, 191 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 669, 814, 162, 242, 191. So, keep reading to learn more.
Given numbers are 669,814,162,242,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,814,162,242,191 is 30891595482.
Find LCM of 669,814,162,242,191 with Prime Factorization
| 2 | 669, 814, 162, 242, 191 |
| 3 | 669, 407, 81, 121, 191 |
| 11 | 223, 407, 27, 121, 191 |
| 223, 37, 27, 11, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 223 x 37 x 27 x 11 x 191 = 30891595482
Therefore, the lowest common multiple of 669,814,162,242,191 is 30891595482.
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.
669 x 814 x 162 x 242 x 191 = 4077690603624
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.
669 : 1, 3, 223, 669
814 : 1, 2, 11, 22, 37, 74, 407, 814
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
242 : 1, 2, 11, 22, 121, 242
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,814,162,242,191, is 1.
Now, the common factors can be found like this.
669:3x 223
814:2x 11x 37
162:2x 3x 3x 3x 3
242:2x 11x 11
191:191
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 11 = 132
Therefore, the value for common factors is 132.
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 = 4077690603624/(1x132)
LCM = 4077690603624/132
LCM = 30891595482
Thus, we can understand that the LCM of 669,814,162,242,191 is 30891595482.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 669, 814, 162, 242, 191
1. What is the LCM of 669, 814, 162, 242, 191?
Answer: LCM of 669, 814, 162, 242, 191 is 30891595482.
2. How to calculate the LCM of 669, 814, 162, 242, 191?
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 669, 814, 162, 242, 191.
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}.