Given numbers are 466,216,762,714,874

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

The LCM of 466,216,762,714,874 is 332385286968.

Find LCM of 466,216,762,714,874 with Prime Factorization

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

2 x 3 x 233 x 36 x 127 x 119 x 437 = 332385286968

Therefore, the lowest common multiple of 466,216,762,714,874 is 332385286968.

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.

466 x 216 x 762 x 714 x 874 = 47863481323392

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.

466 : 1, 2, 233, 466

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

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

874 : 1, 2, 19, 23, 38, 46, 437, 874

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,216,762,714,874, is 2.

Now, the common factors can be found like this.

466:2x 233

216:2x 2x 2x 3x 3x 3

762:2x 3x 127

714:2x 3x 7x 17

874:2x 19x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 47863481323392/(2x72)

LCM = 47863481323392/144

LCM = 332385286968

Thus, we can understand that the LCM of 466,216,762,714,874 is 332385286968.

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

• LCM of 203, 535, 738, 960, 232
• LCM of 410, 444, 420, 927, 312
• LCM of 771, 542, 285, 932, 707
• LCM of 655, 431, 965, 799, 667
• LCM of 829, 282, 542, 695, 447

1. What is the LCM of 466, 216, 762, 714, 874?

Answer: LCM of 466, 216, 762, 714, 874 is 332385286968.

2. How to calculate the LCM of 466, 216, 762, 714, 874?

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 466, 216, 762, 714, 874.

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}.