LCM of 303, 429, 689, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 429, 689, 395 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 303, 429, 689, 395. So, keep reading to learn more.
Given numbers are 303,429,689,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,429,689,395 is 907092615.
Find LCM of 303,429,689,395 with Prime Factorization
| 3 | 303, 429, 689, 395 |
| 13 | 101, 143, 689, 395 |
| 101, 11, 53, 395 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 101 x 11 x 53 x 395 = 907092615
Therefore, the lowest common multiple of 303,429,689,395 is 907092615.
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.
303 x 429 x 689 x 395 = 35376611985
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.
303 : 1, 3, 101, 303
429 : 1, 3, 11, 13, 33, 39, 143, 429
689 : 1, 13, 53, 689
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,429,689,395, is 1.
Now, the common factors can be found like this.
303:3x 101
429:3x 11x 13
689:13x 53
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 35376611985/(1x39)
LCM = 35376611985/39
LCM = 907092615
Thus, we can understand that the LCM of 303,429,689,395 is 907092615.
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FAQs on LCM of 303, 429, 689, 395
1. What is the LCM of 303, 429, 689, 395?
Answer: LCM of 303, 429, 689, 395 is 907092615.
2. How to calculate the LCM of 303, 429, 689, 395?
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 303, 429, 689, 395.
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}.