Given numbers are 460,162,283,989

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

The LCM of 460,162,283,989 is 453416940.

Find LCM of 460,162,283,989 with Prime Factorization

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

2 x 23 x 10 x 81 x 283 x 43 = 453416940

Therefore, the lowest common multiple of 460,162,283,989 is 453416940.

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.

460 x 162 x 283 x 989 = 20857179240

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

283 : 1, 283

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,162,283,989, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

162:2x 3x 3x 3x 3

283:283

989:23x 43

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 20857179240/(1x46)

LCM = 20857179240/46

LCM = 453416940

Thus, we can understand that the LCM of 460,162,283,989 is 453416940.

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

• LCM of 901, 737, 606, 644
• LCM of 601, 196, 290, 365
• LCM of 452, 613, 730, 271
• LCM of 666, 812, 911, 678
• LCM of 219, 464, 995, 799

1. What is the LCM of 460, 162, 283, 989?

Answer: LCM of 460, 162, 283, 989 is 453416940.

2. How to calculate the LCM of 460, 162, 283, 989?

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 460, 162, 283, 989.

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}.