Given numbers are 543,552,723

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

The LCM of 543,552,723 is 24078792.

Find LCM of 543,552,723 with Prime Factorization

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

3 x 181 x 184 x 241 = 24078792

Therefore, the lowest common multiple of 543,552,723 is 24078792.

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.

543 x 552 x 723 = 216709128

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.

543 : 1, 3, 181, 543

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,552,723, is 3.

Now, the common factors can be found like this.

543:3x 181

552:2x 2x 2x 3x 23

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 216709128/(3x3)

LCM = 216709128/9

LCM = 24078792

Thus, we can understand that the LCM of 543,552,723 is 24078792.

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

• LCM of 398, 510, 933
• LCM of 347, 738, 998
• LCM of 859, 930, 123
• LCM of 372, 124, 290
• LCM of 715, 549, 309

1. What is the LCM of 543, 552, 723?

Answer: LCM of 543, 552, 723 is 24078792.

2. How to calculate the LCM of 543, 552, 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 543, 552, 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}.