LCM of 334, 221, 963, 204, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 221, 963, 204, 492 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 334, 221, 963, 204, 492. So, keep reading to learn more.
Given numbers are 334,221,963,204,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,221,963,204,492 is 5828796324.
Find LCM of 334,221,963,204,492 with Prime Factorization
| 2 | 334, 221, 963, 204, 492 |
| 2 | 167, 221, 963, 102, 246 |
| 3 | 167, 221, 963, 51, 123 |
| 17 | 167, 221, 321, 17, 41 |
| 167, 13, 321, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 167 x 13 x 321 x 1 x 41 = 5828796324
Therefore, the lowest common multiple of 334,221,963,204,492 is 5828796324.
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.
334 x 221 x 963 x 204 x 492 = 7134446700576
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.
334 : 1, 2, 167, 334
221 : 1, 13, 17, 221
963 : 1, 3, 9, 107, 321, 963
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,221,963,204,492, is 1.
Now, the common factors can be found like this.
334:2x 167
221:13x 17
963:3x 3x 107
204:2x 2x 3x 17
492:2x 2x 3x 41
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 2x 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 7134446700576/(1x1224)
LCM = 7134446700576/1224
LCM = 5828796324
Thus, we can understand that the LCM of 334,221,963,204,492 is 5828796324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 221, 963, 204, 492
1. What is the LCM of 334, 221, 963, 204, 492?
Answer: LCM of 334, 221, 963, 204, 492 is 5828796324.
2. How to calculate the LCM of 334, 221, 963, 204, 492?
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 334, 221, 963, 204, 492.
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}.