Given numbers are 14,23,77,77,731

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

The LCM of 14,23,77,77,731 is 2589202.

Find LCM of 14,23,77,77,731 with Prime Factorization

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

7 x 11 x 2 x 23 x 1 x 1 x 731 = 2589202

Therefore, the lowest common multiple of 14,23,77,77,731 is 2589202.

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.

14 x 23 x 77 x 77 x 731 = 1395579878

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.

14 : 1, 2, 7, 14

23 : 1, 23

77 : 1, 7, 11, 77

77 : 1, 7, 11, 77

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 14,23,77,77,731, is 1.

Now, the common factors can be found like this.

14:2x 7

23:23

77:7x 11

77:7x 11

731:17x 43

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

7x 7x 11 = 539

Therefore, the value for common factors is 539.

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 = 1395579878/(1x539)

LCM = 1395579878/539

LCM = 2589202

Thus, we can understand that the LCM of 14,23,77,77,731 is 2589202.

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

• LCM of 86, 79, 28, 20, 861
• LCM of 33, 56, 38, 79, 705
• LCM of 85, 16, 51, 39, 665
• LCM of 65, 29, 84, 40, 787
• LCM of 95, 63, 91, 45, 867

1. What is the LCM of 14, 23, 77, 77, 731?

Answer: LCM of 14, 23, 77, 77, 731 is 2589202.

2. How to calculate the LCM of 14, 23, 77, 77, 731?

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 14, 23, 77, 77, 731.

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}.