Given numbers are 462,728,546,266

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

The LCM of 462,728,546,266 is 456456.

Find LCM of 462,728,546,266 with Prime Factorization

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

2 x 3 x 7 x 13 x 11 x 4 x 1 x 19 = 456456

Therefore, the lowest common multiple of 462,728,546,266 is 456456.

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.

462 x 728 x 546 x 266 = 48848095296

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

266 : 1, 2, 7, 14, 19, 38, 133, 266

14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,728,546,266, is 14.

Now, the common factors can be found like this.

462:2x 3x 7x 11

728:2x 2x 2x 7x 13

546:2x 3x 7x 13

266:2x 7x 19

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 3x 7x 7x 13 = 7644

Therefore, the value for common factors is 7644.

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 = 48848095296/(14x7644)

LCM = 48848095296/107016

LCM = 456456

Thus, we can understand that the LCM of 462,728,546,266 is 456456.

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

• LCM of 393, 597, 269, 124
• LCM of 771, 209, 944, 236
• LCM of 467, 432, 411, 948
• LCM of 171, 144, 476, 419
• LCM of 960, 754, 708, 559

1. What is the LCM of 462, 728, 546, 266?

Answer: LCM of 462, 728, 546, 266 is 456456.

2. How to calculate the LCM of 462, 728, 546, 266?

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 462, 728, 546, 266.

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}.