Given numbers are 746,225,698,723

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

The LCM of 746,225,698,723 is 14117695650.

Find LCM of 746,225,698,723 with Prime Factorization

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

2 x 3 x 373 x 75 x 349 x 241 = 14117695650

Therefore, the lowest common multiple of 746,225,698,723 is 14117695650.

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 225 x 698 x 723 = 84706173900

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

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

698 : 1, 2, 349, 698

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,225,698,723, is 1.

Now, the common factors can be found like this.

746:2x 373

225:3x 3x 5x 5

698:2x 349

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 84706173900/(1x6)

LCM = 84706173900/6

LCM = 14117695650

Thus, we can understand that the LCM of 746,225,698,723 is 14117695650.

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

• LCM of 813, 914, 721, 996
• LCM of 685, 173, 632, 733
• LCM of 518, 869, 950, 452
• LCM of 175, 974, 906, 640
• LCM of 194, 366, 574, 928

1. What is the LCM of 746, 225, 698, 723?

Answer: LCM of 746, 225, 698, 723 is 14117695650.

2. How to calculate the LCM of 746, 225, 698, 723?

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, 225, 698, 723.

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}.