Given numbers are 491,566,762,728

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

The LCM of 491,566,762,728 is 38541115704.

Find LCM of 491,566,762,728 with Prime Factorization

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

2 x 491 x 283 x 381 x 364 = 38541115704

Therefore, the lowest common multiple of 491,566,762,728 is 38541115704.

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.

491 x 566 x 762 x 728 = 154164462816

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.

491 : 1, 491

566 : 1, 2, 283, 566

762 : 1, 2, 3, 6, 127, 254, 381, 762

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 491,566,762,728, is 1.

Now, the common factors can be found like this.

491:491

566:2x 283

762:2x 3x 127

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 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 = 154164462816/(1x4)

LCM = 154164462816/4

LCM = 38541115704

Thus, we can understand that the LCM of 491,566,762,728 is 38541115704.

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

• LCM of 509, 395, 612, 176
• LCM of 598, 956, 875, 328
• LCM of 905, 917, 150, 834
• LCM of 613, 672, 589, 546
• LCM of 507, 297, 237, 210

1. What is the LCM of 491, 566, 762, 728?

Answer: LCM of 491, 566, 762, 728 is 38541115704.

2. How to calculate the LCM of 491, 566, 762, 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 491, 566, 762, 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}.