Given numbers are 723,210,126,662,966

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

The LCM of 723,210,126,662,966 is 1155881790.

Find LCM of 723,210,126,662,966 with Prime Factorization

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

2 x 3 x 7 x 241 x 5 x 3 x 331 x 23 = 1155881790

Therefore, the lowest common multiple of 723,210,126,662,966 is 1155881790.

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.

723 x 210 x 126 x 662 x 966 = 12233852865360

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.

723 : 1, 3, 241, 723

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

662 : 1, 2, 331, 662

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,210,126,662,966, is 1.

Now, the common factors can be found like this.

723:3x 241

210:2x 3x 5x 7

126:2x 3x 3x 7

662:2x 331

966:2x 3x 7x 23

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

2x 2x 2x 3x 3x 3x 7x 7 = 10584

Therefore, the value for common factors is 10584.

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 = 12233852865360/(1x10584)

LCM = 12233852865360/10584

LCM = 1155881790

Thus, we can understand that the LCM of 723,210,126,662,966 is 1155881790.

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

• LCM of 752, 173, 419, 293, 852
• LCM of 891, 602, 351, 898, 869
• LCM of 683, 602, 962, 133, 627
• LCM of 101, 865, 589, 755, 293
• LCM of 752, 608, 745, 387, 297

1. What is the LCM of 723, 210, 126, 662, 966?

Answer: LCM of 723, 210, 126, 662, 966 is 1155881790.

2. How to calculate the LCM of 723, 210, 126, 662, 966?

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 723, 210, 126, 662, 966.

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}.