Given numbers are 460,676,306,890

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

The LCM of 460,676,306,890 is 1058585580.

Find LCM of 460,676,306,890 with Prime Factorization

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

2 x 2 x 5 x 23 x 169 x 153 x 89 = 1058585580

Therefore, the lowest common multiple of 460,676,306,890 is 1058585580.

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 676 x 306 x 890 = 84686846400

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

890 : 1, 2, 5, 10, 89, 178, 445, 890

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,676,306,890, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

676:2x 2x 13x 13

306:2x 3x 3x 17

890:2x 5x 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 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 84686846400/(2x40)

LCM = 84686846400/80

LCM = 1058585580

Thus, we can understand that the LCM of 460,676,306,890 is 1058585580.

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

• LCM of 594, 139, 948, 859
• LCM of 234, 669, 749, 499
• LCM of 985, 946, 944, 696
• LCM of 659, 142, 120, 251
• LCM of 989, 502, 535, 150

1. What is the LCM of 460, 676, 306, 890?

Answer: LCM of 460, 676, 306, 890 is 1058585580.

2. How to calculate the LCM of 460, 676, 306, 890?

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, 676, 306, 890.

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}.