Find the LCM of 741, 697, 871, 928 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 741, 697, 871, 928. So, keep reading to learn more.
Given numbers are 741,697,871,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,697,871,928 is 32112473952.
Find LCM of 741,697,871,928 with Prime Factorization
13 | 741, 697, 871, 928 |
57, 697, 67, 928 |
Multiply the prime numbers at the bottom and the left side.
13 x 57 x 697 x 67 x 928 = 32112473952
Therefore, the lowest common multiple of 741,697,871,928 is 32112473952.
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.
741 x 697 x 871 x 928 = 417462161376
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
697 : 1, 17, 41, 697
871 : 1, 13, 67, 871
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,697,871,928, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
697:17x 41
871:13x 67
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 417462161376/(1x13)
LCM = 417462161376/13
LCM = 32112473952
Thus, we can understand that the LCM of 741,697,871,928 is 32112473952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 697, 871, 928?
Answer: LCM of 741, 697, 871, 928 is 32112473952.
2. How to calculate the LCM of 741, 697, 871, 928?
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 741, 697, 871, 928.
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}.