LCM of 189, 404, 693, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 404, 693, 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 189, 404, 693, 153. So, keep reading to learn more.
Given numbers are 189,404,693,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,404,693,153 is 14278572.
Find LCM of 189,404,693,153 with Prime Factorization
| 3 | 189, 404, 693, 153 |
| 3 | 63, 404, 231, 51 |
| 7 | 21, 404, 77, 17 |
| 3, 404, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 3 x 404 x 11 x 17 = 14278572
Therefore, the lowest common multiple of 189,404,693,153 is 14278572.
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.
189 x 404 x 693 x 153 = 8095950324
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
404 : 1, 2, 4, 101, 202, 404
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 189,404,693,153, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
404:2x 2x 101
693:3x 3x 7x 11
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.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 8095950324/(1x567)
LCM = 8095950324/567
LCM = 14278572
Thus, we can understand that the LCM of 189,404,693,153 is 14278572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 189, 404, 693, 153
1. What is the LCM of 189, 404, 693, 153?
Answer: LCM of 189, 404, 693, 153 is 14278572.
2. How to calculate the LCM of 189, 404, 693, 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 189, 404, 693, 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}.