LCM of 418, 969, 204, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 969, 204, 153 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 418, 969, 204, 153. So, keep reading to learn more.
Given numbers are 418,969,204,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,969,204,153 is 127908.
Find LCM of 418,969,204,153 with Prime Factorization
| 2 | 418, 969, 204, 153 |
| 3 | 209, 969, 102, 153 |
| 17 | 209, 323, 34, 51 |
| 19 | 209, 19, 2, 3 |
| 11, 1, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 11 x 1 x 2 x 3 = 127908
Therefore, the lowest common multiple of 418,969,204,153 is 127908.
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.
418 x 969 x 204 x 153 = 12642170904
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
969 : 1, 3, 17, 19, 51, 57, 323, 969
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,969,204,153, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
969:3x 17x 19
204:2x 2x 3x 17
153:3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 17x 19 = 98838
Therefore, the value for common factors is 98838.
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 = 12642170904/(1x98838)
LCM = 12642170904/98838
LCM = 127908
Thus, we can understand that the LCM of 418,969,204,153 is 127908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 969, 204, 153
1. What is the LCM of 418, 969, 204, 153?
Answer: LCM of 418, 969, 204, 153 is 127908.
2. How to calculate the LCM of 418, 969, 204, 153?
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 418, 969, 204, 153.
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}.