Given numbers are 772,163,714,208,406

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

The LCM of 772,163,714,208,406 is 67744565616.

Find LCM of 772,163,714,208,406 with Prime Factorization

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

2 x 2 x 7 x 193 x 163 x 51 x 52 x 29 = 67744565616

Therefore, the lowest common multiple of 772,163,714,208,406 is 67744565616.

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.

772 x 163 x 714 x 208 x 406 = 7587391348992

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.

772 : 1, 2, 4, 193, 386, 772

163 : 1, 163

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,163,714,208,406, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

163:163

714:2x 3x 7x 17

208:2x 2x 2x 2x 13

406:2x 7x 29

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 7587391348992/(1x112)

LCM = 7587391348992/112

LCM = 67744565616

Thus, we can understand that the LCM of 772,163,714,208,406 is 67744565616.

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

• LCM of 337, 699, 887, 711, 513
• LCM of 460, 478, 219, 360, 101
• LCM of 426, 862, 227, 113, 923
• LCM of 436, 146, 320, 984, 979
• LCM of 790, 358, 271, 716, 865

1. What is the LCM of 772, 163, 714, 208, 406?

Answer: LCM of 772, 163, 714, 208, 406 is 67744565616.

2. How to calculate the LCM of 772, 163, 714, 208, 406?

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 772, 163, 714, 208, 406.

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}.