Given numbers are 729,743,746,638,166

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

The LCM of 729,743,746,638,166 is 10698525963774.

Find LCM of 729,743,746,638,166 with Prime Factorization

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

2 x 729 x 743 x 373 x 319 x 83 = 10698525963774

Therefore, the lowest common multiple of 729,743,746,638,166 is 10698525963774.

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.

729 x 743 x 746 x 638 x 166 = 42794103855096

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.

729 : 1, 3, 9, 27, 81, 243, 729

743 : 1, 743

746 : 1, 2, 373, 746

638 : 1, 2, 11, 22, 29, 58, 319, 638

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,743,746,638,166, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

743:743

746:2x 373

638:2x 11x 29

166:2x 83

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 = 42794103855096/(1x4)

LCM = 42794103855096/4

LCM = 10698525963774

Thus, we can understand that the LCM of 729,743,746,638,166 is 10698525963774.

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

• LCM of 136, 562, 271, 755, 158
• LCM of 634, 245, 210, 179, 978
• LCM of 935, 418, 757, 382, 670
• LCM of 946, 918, 235, 238, 200
• LCM of 416, 638, 289, 552, 355

1. What is the LCM of 729, 743, 746, 638, 166?

Answer: LCM of 729, 743, 746, 638, 166 is 10698525963774.

2. How to calculate the LCM of 729, 743, 746, 638, 166?

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 729, 743, 746, 638, 166.

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}.