LCM of 429, 928, 396, 665, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 928, 396, 665, 694 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, 928, 396, 665, 694. So, keep reading to learn more.
Given numbers are 429,928,396,665,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,928,396,665,694 is 275599003680.
Find LCM of 429,928,396,665,694 with Prime Factorization
| 2 | 429, 928, 396, 665, 694 |
| 2 | 429, 464, 198, 665, 347 |
| 3 | 429, 232, 99, 665, 347 |
| 11 | 143, 232, 33, 665, 347 |
| 13, 232, 3, 665, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 232 x 3 x 665 x 347 = 275599003680
Therefore, the lowest common multiple of 429,928,396,665,694 is 275599003680.
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 928 x 396 x 665 x 694 = 72758136971520
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
665 : 1, 5, 7, 19, 35, 95, 133, 665
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,928,396,665,694, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
928:2x 2x 2x 2x 2x 29
396:2x 2x 3x 3x 11
665:5x 7x 19
694:2x 347
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 11 = 264
Therefore, the value for common factors is 264.
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 = 72758136971520/(1x264)
LCM = 72758136971520/264
LCM = 275599003680
Thus, we can understand that the LCM of 429,928,396,665,694 is 275599003680.
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FAQs on LCM of 429, 928, 396, 665, 694
1. What is the LCM of 429, 928, 396, 665, 694?
Answer: LCM of 429, 928, 396, 665, 694 is 275599003680.
2. How to calculate the LCM of 429, 928, 396, 665, 694?
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, 928, 396, 665, 694.
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}.