Given numbers are 728,507,871

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

The LCM of 728,507,871 is 1902264.

Find LCM of 728,507,871 with Prime Factorization

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

13 x 56 x 39 x 67 = 1902264

Therefore, the lowest common multiple of 728,507,871 is 1902264.

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.

728 x 507 x 871 = 321482616

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

507 : 1, 3, 13, 39, 169, 507

871 : 1, 13, 67, 871

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,507,871, is 13.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

507:3x 13x 13

871:13x 67

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 = 321482616/(13x13)

LCM = 321482616/169

LCM = 1902264

Thus, we can understand that the LCM of 728,507,871 is 1902264.

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

• LCM of 242, 692, 127
• LCM of 242, 421, 548
• LCM of 243, 290, 416
• LCM of 530, 716, 822
• LCM of 938, 799, 257

1. What is the LCM of 728, 507, 871?

Answer: LCM of 728, 507, 871 is 1902264.

2. How to calculate the LCM of 728, 507, 871?

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 728, 507, 871.

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}.