LCM of 385, 507, 880, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 507, 880, 928 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 385, 507, 880, 928. So, keep reading to learn more.
Given numbers are 385,507,880,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,507,880,928 is 181140960.
Find LCM of 385,507,880,928 with Prime Factorization
| 2 | 385, 507, 880, 928 |
| 2 | 385, 507, 440, 464 |
| 2 | 385, 507, 220, 232 |
| 2 | 385, 507, 110, 116 |
| 5 | 385, 507, 55, 58 |
| 11 | 77, 507, 11, 58 |
| 7, 507, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 7 x 507 x 1 x 58 = 181140960
Therefore, the lowest common multiple of 385,507,880,928 is 181140960.
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.
385 x 507 x 880 x 928 = 159404044800
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
507 : 1, 3, 13, 39, 169, 507
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,507,880,928, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
507:3x 13x 13
880:2x 2x 2x 2x 5x 11
928:2x 2x 2x 2x 2x 29
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 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 159404044800/(1x880)
LCM = 159404044800/880
LCM = 181140960
Thus, we can understand that the LCM of 385,507,880,928 is 181140960.
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FAQs on LCM of 385, 507, 880, 928
1. What is the LCM of 385, 507, 880, 928?
Answer: LCM of 385, 507, 880, 928 is 181140960.
2. How to calculate the LCM of 385, 507, 880, 928?
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 385, 507, 880, 928.
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}.