Find the LCM of 724, 741, 871, 623 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 724, 741, 871, 623. So, keep reading to learn more.
Given numbers are 724,741,871,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,741,871,623 is 22393378644.
Find LCM of 724,741,871,623 with Prime Factorization
13 | 724, 741, 871, 623 |
724, 57, 67, 623 |
Multiply the prime numbers at the bottom and the left side.
13 x 724 x 57 x 67 x 623 = 22393378644
Therefore, the lowest common multiple of 724,741,871,623 is 22393378644.
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.
724 x 741 x 871 x 623 = 291113922372
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.
724 : 1, 2, 4, 181, 362, 724
741 : 1, 3, 13, 19, 39, 57, 247, 741
871 : 1, 13, 67, 871
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,741,871,623, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
741:3x 13x 19
871:13x 67
623:7x 89
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 = 291113922372/(1x13)
LCM = 291113922372/13
LCM = 22393378644
Thus, we can understand that the LCM of 724,741,871,623 is 22393378644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 741, 871, 623?
Answer: LCM of 724, 741, 871, 623 is 22393378644.
2. How to calculate the LCM of 724, 741, 871, 623?
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 724, 741, 871, 623.
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}.