Find the LCM of 488, 571, 715, 611, 377 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 488, 571, 715, 611, 377. So, keep reading to learn more.
Given numbers are 488,571,715,611,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,571,715,611,377 is 271555015160.
Find LCM of 488,571,715,611,377 with Prime Factorization
13 | 488, 571, 715, 611, 377 |
488, 571, 55, 47, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 488 x 571 x 55 x 47 x 29 = 271555015160
Therefore, the lowest common multiple of 488,571,715,611,377 is 271555015160.
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.
488 x 571 x 715 x 611 x 377 = 45892797562040
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
571 : 1, 571
715 : 1, 5, 11, 13, 55, 65, 143, 715
611 : 1, 13, 47, 611
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,571,715,611,377, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
571:571
715:5x 11x 13
611:13x 47
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 45892797562040/(1x169)
LCM = 45892797562040/169
LCM = 271555015160
Thus, we can understand that the LCM of 488,571,715,611,377 is 271555015160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 571, 715, 611, 377?
Answer: LCM of 488, 571, 715, 611, 377 is 271555015160.
2. How to calculate the LCM of 488, 571, 715, 611, 377?
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 488, 571, 715, 611, 377.
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}.