LCM of 649, 189, 371, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 189, 371, 966 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 649, 189, 371, 966. So, keep reading to learn more.
Given numbers are 649,189,371,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,189,371,966 is 299047518.
Find LCM of 649,189,371,966 with Prime Factorization
| 3 | 649, 189, 371, 966 |
| 7 | 649, 63, 371, 322 |
| 649, 9, 53, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 649 x 9 x 53 x 46 = 299047518
Therefore, the lowest common multiple of 649,189,371,966 is 299047518.
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.
649 x 189 x 371 x 966 = 43959985146
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.
649 : 1, 11, 59, 649
189 : 1, 3, 7, 9, 21, 27, 63, 189
371 : 1, 7, 53, 371
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,189,371,966, is 1.
Now, the common factors can be found like this.
649:11x 59
189:3x 3x 3x 7
371:7x 53
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 43959985146/(1x147)
LCM = 43959985146/147
LCM = 299047518
Thus, we can understand that the LCM of 649,189,371,966 is 299047518.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 649, 189, 371, 966
1. What is the LCM of 649, 189, 371, 966?
Answer: LCM of 649, 189, 371, 966 is 299047518.
2. How to calculate the LCM of 649, 189, 371, 966?
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 649, 189, 371, 966.
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}.