Given numbers are 30,72,723

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

The LCM of 30,72,723 is 86760.

Find LCM of 30,72,723 with Prime Factorization

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

2 x 3 x 5 x 12 x 241 = 86760

Therefore, the lowest common multiple of 30,72,723 is 86760.

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.

30 x 72 x 723 = 1561680

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.

30 : 1, 2, 3, 5, 6, 10, 15, 30

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 30,72,723, is 3.

Now, the common factors can be found like this.

30:2x 3x 5

72:2x 2x 2x 3x 3

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 = 1561680/(3x6)

LCM = 1561680/18

LCM = 86760

Thus, we can understand that the LCM of 30,72,723 is 86760.

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

• LCM of 51, 33, 799
• LCM of 16, 37, 681
• LCM of 76, 38, 319
• LCM of 53, 10, 832
• LCM of 44, 16, 775

1. What is the LCM of 30, 72, 723?

Answer: LCM of 30, 72, 723 is 86760.

2. How to calculate the LCM of 30, 72, 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 30, 72, 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}.