Given numbers are 730,456,538

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

The LCM of 730,456,538 is 44772360.

Find LCM of 730,456,538 with Prime Factorization

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

2 x 365 x 228 x 269 = 44772360

Therefore, the lowest common multiple of 730,456,538 is 44772360.

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.

730 x 456 x 538 = 179089440

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,456,538, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

456:2x 2x 2x 3x 19

538:2x 269

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 = 179089440/(2x2)

LCM = 179089440/4

LCM = 44772360

Thus, we can understand that the LCM of 730,456,538 is 44772360.

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

• LCM of 832, 422, 170
• LCM of 753, 502, 458
• LCM of 231, 369, 424
• LCM of 178, 895, 831
• LCM of 856, 126, 881

1. What is the LCM of 730, 456, 538?

Answer: LCM of 730, 456, 538 is 44772360.

2. How to calculate the LCM of 730, 456, 538?

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 730, 456, 538.

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}.