Given numbers are 731,493,989,30

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

The LCM of 731,493,989,30 is 14627310.

Find LCM of 731,493,989,30 with Prime Factorization

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

17 x 43 x 1 x 29 x 23 x 30 = 14627310

Therefore, the lowest common multiple of 731,493,989,30 is 14627310.

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.

731 x 493 x 989 x 30 = 10692563610

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.

731 : 1, 17, 43, 731

493 : 1, 17, 29, 493

989 : 1, 23, 43, 989

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,493,989,30, is 1.

Now, the common factors can be found like this.

731:17x 43

493:17x 29

989:23x 43

30:2x 3x 5

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

17x 43 = 731

Therefore, the value for common factors is 731.

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 = 10692563610/(1x731)

LCM = 10692563610/731

LCM = 14627310

Thus, we can understand that the LCM of 731,493,989,30 is 14627310.

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

• LCM of 275, 209, 903, 92
• LCM of 600, 810, 981, 65
• LCM of 189, 547, 893, 37
• LCM of 909, 864, 956, 71
• LCM of 299, 390, 916, 54

1. What is the LCM of 731, 493, 989, 30?

Answer: LCM of 731, 493, 989, 30 is 14627310.

2. How to calculate the LCM of 731, 493, 989, 30?

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 731, 493, 989, 30.

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}.