Given numbers are 478,491,736,728

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

The LCM of 478,491,736,728 is 7859566624.

Find LCM of 478,491,736,728 with Prime Factorization

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

2 x 2 x 2 x 239 x 491 x 92 x 91 = 7859566624

Therefore, the lowest common multiple of 478,491,736,728 is 7859566624.

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.

478 x 491 x 736 x 728 = 125753065984

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.

478 : 1, 2, 239, 478

491 : 1, 491

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,491,736,728, is 1.

Now, the common factors can be found like this.

478:2x 239

491:491

736:2x 2x 2x 2x 2x 23

728:2x 2x 2x 7x 13

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 = 125753065984/(1x16)

LCM = 125753065984/16

LCM = 7859566624

Thus, we can understand that the LCM of 478,491,736,728 is 7859566624.

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

• LCM of 654, 164, 372, 991
• LCM of 571, 949, 652, 954
• LCM of 943, 822, 933, 319
• LCM of 275, 310, 695, 921
• LCM of 965, 362, 147, 153

1. What is the LCM of 478, 491, 736, 728?

Answer: LCM of 478, 491, 736, 728 is 7859566624.

2. How to calculate the LCM of 478, 491, 736, 728?

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 478, 491, 736, 728.

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}.