LCM of 361, 213, 969, 442, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 213, 969, 442, 649 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 361, 213, 969, 442, 649. So, keep reading to learn more.
Given numbers are 361,213,969,442,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,213,969,442,649 is 22057372194.
Find LCM of 361,213,969,442,649 with Prime Factorization
| 3 | 361, 213, 969, 442, 649 |
| 17 | 361, 71, 323, 442, 649 |
| 19 | 361, 71, 19, 26, 649 |
| 1, 71, 19, 26, 649 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 1 x 71 x 19 x 26 x 649 = 22057372194
Therefore, the lowest common multiple of 361,213,969,442,649 is 22057372194.
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.
361 x 213 x 969 x 442 x 649 = 21373593655986
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.
361 : 1, 19, 361
213 : 1, 3, 71, 213
969 : 1, 3, 17, 19, 51, 57, 323, 969
442 : 1, 2, 13, 17, 26, 34, 221, 442
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,213,969,442,649, is 1.
Now, the common factors can be found like this.
361:19x 19
213:3x 71
969:3x 17x 19
442:2x 13x 17
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 21373593655986/(1x969)
LCM = 21373593655986/969
LCM = 22057372194
Thus, we can understand that the LCM of 361,213,969,442,649 is 22057372194.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 213, 969, 442, 649
1. What is the LCM of 361, 213, 969, 442, 649?
Answer: LCM of 361, 213, 969, 442, 649 is 22057372194.
2. How to calculate the LCM of 361, 213, 969, 442, 649?
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 361, 213, 969, 442, 649.
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}.