Given numbers are 280,130,466

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

The LCM of 280,130,466 is 848120.

Find LCM of 280,130,466 with Prime Factorization

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

2 x 5 x 28 x 13 x 233 = 848120

Therefore, the lowest common multiple of 280,130,466 is 848120.

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.

280 x 130 x 466 = 16962400

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

130 : 1, 2, 5, 10, 13, 26, 65, 130

466 : 1, 2, 233, 466

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,130,466, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

130:2x 5x 13

466:2x 233

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 16962400/(2x10)

LCM = 16962400/20

LCM = 848120

Thus, we can understand that the LCM of 280,130,466 is 848120.

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

• LCM of 584, 626, 502
• LCM of 375, 507, 193
• LCM of 476, 543, 602
• LCM of 362, 996, 551
• LCM of 879, 978, 931

1. What is the LCM of 280, 130, 466?

Answer: LCM of 280, 130, 466 is 848120.

2. How to calculate the LCM of 280, 130, 466?

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 280, 130, 466.

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}.