LCM of 429, 687, 195, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 687, 195, 391 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 429, 687, 195, 391. So, keep reading to learn more.
Given numbers are 429,687,195,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,687,195,391 is 192061155.
Find LCM of 429,687,195,391 with Prime Factorization
| 3 | 429, 687, 195, 391 |
| 13 | 143, 229, 65, 391 |
| 11, 229, 5, 391 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 11 x 229 x 5 x 391 = 192061155
Therefore, the lowest common multiple of 429,687,195,391 is 192061155.
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.
429 x 687 x 195 x 391 = 22471155135
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
687 : 1, 3, 229, 687
195 : 1, 3, 5, 13, 15, 39, 65, 195
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,687,195,391, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
687:3x 229
195:3x 5x 13
391:17x 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 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 22471155135/(1x117)
LCM = 22471155135/117
LCM = 192061155
Thus, we can understand that the LCM of 429,687,195,391 is 192061155.
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FAQs on LCM of 429, 687, 195, 391
1. What is the LCM of 429, 687, 195, 391?
Answer: LCM of 429, 687, 195, 391 is 192061155.
2. How to calculate the LCM of 429, 687, 195, 391?
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 429, 687, 195, 391.
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}.