Find the LCM of 971, 555, 451, 335, 880 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 971, 555, 451, 335, 880. So, keep reading to learn more.
Given numbers are 971,555,451,335,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,555,451,335,880 is 260545478160.
Find LCM of 971,555,451,335,880 with Prime Factorization
5 | 971, 555, 451, 335, 880 |
11 | 971, 111, 451, 67, 176 |
971, 111, 41, 67, 16 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 971 x 111 x 41 x 67 x 16 = 260545478160
Therefore, the lowest common multiple of 971,555,451,335,880 is 260545478160.
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.
971 x 555 x 451 x 335 x 880 = 71650006494000
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.
971 : 1, 971
555 : 1, 3, 5, 15, 37, 111, 185, 555
451 : 1, 11, 41, 451
335 : 1, 5, 67, 335
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,555,451,335,880, is 1.
Now, the common factors can be found like this.
971:971
555:3x 5x 37
451:11x 41
335:5x 67
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11 = 275
Therefore, the value for common factors is 275.
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 = 71650006494000/(1x275)
LCM = 71650006494000/275
LCM = 260545478160
Thus, we can understand that the LCM of 971,555,451,335,880 is 260545478160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 555, 451, 335, 880?
Answer: LCM of 971, 555, 451, 335, 880 is 260545478160.
2. How to calculate the LCM of 971, 555, 451, 335, 880?
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 971, 555, 451, 335, 880.
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}.