LCM of 344, 477, 592, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 477, 592, 477 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 344, 477, 592, 477. So, keep reading to learn more.
Given numbers are 344,477,592,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,477,592,477 is 12142512.
Find LCM of 344,477,592,477 with Prime Factorization
| 2 | 344, 477, 592, 477 |
| 2 | 172, 477, 296, 477 |
| 2 | 86, 477, 148, 477 |
| 3 | 43, 477, 74, 477 |
| 3 | 43, 159, 74, 159 |
| 53 | 43, 53, 74, 53 |
| 43, 1, 74, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 53 x 43 x 1 x 74 x 1 = 12142512
Therefore, the lowest common multiple of 344,477,592,477 is 12142512.
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.
344 x 477 x 592 x 477 = 46335825792
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
477 : 1, 3, 9, 53, 159, 477
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,477,592,477, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
477:3x 3x 53
592:2x 2x 2x 2x 37
477:3x 3x 53
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 3x 53 = 3816
Therefore, the value for common factors is 3816.
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 = 46335825792/(1x3816)
LCM = 46335825792/3816
LCM = 12142512
Thus, we can understand that the LCM of 344,477,592,477 is 12142512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 344, 477, 592, 477
1. What is the LCM of 344, 477, 592, 477?
Answer: LCM of 344, 477, 592, 477 is 12142512.
2. How to calculate the LCM of 344, 477, 592, 477?
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 344, 477, 592, 477.
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}.