Given numbers are 871,320,107,724

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 871,320,107,724 is 5397970240.

Find LCM of 871,320,107,724 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 871 x 80 x 107 x 181 = 5397970240

Therefore, the lowest common multiple of 871,320,107,724 is 5397970240.

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.

871 x 320 x 107 x 724 = 21591880960

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.

871 : 1, 13, 67, 871

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

107 : 1, 107

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,320,107,724, is 1.

Now, the common factors can be found like this.

871:13x 67

320:2x 2x 2x 2x 2x 2x 5

107:107

724:2x 2x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21591880960/(1x4)

LCM = 21591880960/4

LCM = 5397970240

Thus, we can understand that the LCM of 871,320,107,724 is 5397970240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 215, 835, 958, 754
• LCM of 495, 614, 769, 432
• LCM of 706, 565, 695, 849
• LCM of 905, 155, 647, 824
• LCM of 532, 140, 404, 804

1. What is the LCM of 871, 320, 107, 724?

Answer: LCM of 871, 320, 107, 724 is 5397970240.

2. How to calculate the LCM of 871, 320, 107, 724?

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 871, 320, 107, 724.

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}.