Find the LCM of 471, 697, 487, 308, 341 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 471, 697, 487, 308, 341. So, keep reading to learn more.
Given numbers are 471,697,487,308,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,697,487,308,341 is 1526493842412.
Find LCM of 471,697,487,308,341 with Prime Factorization
11 | 471, 697, 487, 308, 341 |
471, 697, 487, 28, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 471 x 697 x 487 x 28 x 31 = 1526493842412
Therefore, the lowest common multiple of 471,697,487,308,341 is 1526493842412.
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.
471 x 697 x 487 x 308 x 341 = 16791432266532
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.
471 : 1, 3, 157, 471
697 : 1, 17, 41, 697
487 : 1, 487
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,697,487,308,341, is 1.
Now, the common factors can be found like this.
471:3x 157
697:17x 41
487:487
308:2x 2x 7x 11
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 16791432266532/(1x11)
LCM = 16791432266532/11
LCM = 1526493842412
Thus, we can understand that the LCM of 471,697,487,308,341 is 1526493842412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 697, 487, 308, 341?
Answer: LCM of 471, 697, 487, 308, 341 is 1526493842412.
2. How to calculate the LCM of 471, 697, 487, 308, 341?
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 471, 697, 487, 308, 341.
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}.