Find the LCM of 348, 930, 434, 577 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 348, 930, 434, 577. So, keep reading to learn more.
Given numbers are 348,930,434,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,930,434,577 is 217863660.
Find LCM of 348,930,434,577 with Prime Factorization
2 | 348, 930, 434, 577 |
3 | 174, 465, 217, 577 |
31 | 58, 155, 217, 577 |
58, 5, 7, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 58 x 5 x 7 x 577 = 217863660
Therefore, the lowest common multiple of 348,930,434,577 is 217863660.
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.
348 x 930 x 434 x 577 = 81045281520
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
434 : 1, 2, 7, 14, 31, 62, 217, 434
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,930,434,577, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
930:2x 3x 5x 31
434:2x 7x 31
577:577
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 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 81045281520/(1x372)
LCM = 81045281520/372
LCM = 217863660
Thus, we can understand that the LCM of 348,930,434,577 is 217863660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 930, 434, 577?
Answer: LCM of 348, 930, 434, 577 is 217863660.
2. How to calculate the LCM of 348, 930, 434, 577?
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 348, 930, 434, 577.
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}.