Given numbers are 321,795,630,723,712

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

The LCM of 321,795,630,723,712 is 306525943080.

Find LCM of 321,795,630,723,712 with Prime Factorization

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

2 x 3 x 5 x 107 x 53 x 21 x 241 x 356 = 306525943080

Therefore, the lowest common multiple of 321,795,630,723,712 is 306525943080.

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.

321 x 795 x 630 x 723 x 712 = 82762004631600

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.

321 : 1, 3, 107, 321

795 : 1, 3, 5, 15, 53, 159, 265, 795

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

723 : 1, 3, 241, 723

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,795,630,723,712, is 1.

Now, the common factors can be found like this.

321:3x 107

795:3x 5x 53

630:2x 3x 3x 5x 7

723:3x 241

712:2x 2x 2x 89

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 82762004631600/(1x270)

LCM = 82762004631600/270

LCM = 306525943080

Thus, we can understand that the LCM of 321,795,630,723,712 is 306525943080.

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

• LCM of 759, 484, 572, 152, 441
• LCM of 219, 952, 846, 883, 182
• LCM of 162, 852, 990, 703, 465
• LCM of 282, 666, 491, 134, 113
• LCM of 229, 277, 398, 988, 154

1. What is the LCM of 321, 795, 630, 723, 712?

Answer: LCM of 321, 795, 630, 723, 712 is 306525943080.

2. How to calculate the LCM of 321, 795, 630, 723, 712?

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 321, 795, 630, 723, 712.

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}.