Given numbers are 746,174,728

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

The LCM of 746,174,728 is 23624328.

Find LCM of 746,174,728 with Prime Factorization

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

2 x 373 x 87 x 364 = 23624328

Therefore, the lowest common multiple of 746,174,728 is 23624328.

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.

746 x 174 x 728 = 94497312

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.

746 : 1, 2, 373, 746

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,174,728, is 2.

Now, the common factors can be found like this.

746:2x 373

174:2x 3x 29

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 94497312/(2x2)

LCM = 94497312/4

LCM = 23624328

Thus, we can understand that the LCM of 746,174,728 is 23624328.

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

• LCM of 980, 104, 935
• LCM of 974, 249, 677
• LCM of 816, 462, 565
• LCM of 223, 115, 473
• LCM of 382, 736, 261

1. What is the LCM of 746, 174, 728?

Answer: LCM of 746, 174, 728 is 23624328.

2. How to calculate the LCM of 746, 174, 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 746, 174, 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}.