Given numbers are 728,648,947,110

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

The LCM of 728,648,947,110 is 3071348280.

Find LCM of 728,648,947,110 with Prime Factorization

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

2 x 2 x 2 x 91 x 81 x 947 x 55 = 3071348280

Therefore, the lowest common multiple of 728,648,947,110 is 3071348280.

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 648 x 947 x 110 = 49141572480

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

947 : 1, 947

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,648,947,110, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

648:2x 2x 2x 3x 3x 3x 3

947:947

110:2x 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.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 49141572480/(1x16)

LCM = 49141572480/16

LCM = 3071348280

Thus, we can understand that the LCM of 728,648,947,110 is 3071348280.

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

• LCM of 259, 954, 156, 595
• LCM of 995, 530, 513, 200
• LCM of 116, 303, 422, 891
• LCM of 815, 387, 479, 318
• LCM of 475, 416, 882, 269

1. What is the LCM of 728, 648, 947, 110?

Answer: LCM of 728, 648, 947, 110 is 3071348280.

2. How to calculate the LCM of 728, 648, 947, 110?

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, 648, 947, 110.

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}.