Given numbers are 281,142,165,490

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

The LCM of 281,142,165,490 is 322607670.

Find LCM of 281,142,165,490 with Prime Factorization

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

2 x 5 x 281 x 71 x 33 x 49 = 322607670

Therefore, the lowest common multiple of 281,142,165,490 is 322607670.

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.

281 x 142 x 165 x 490 = 3226076700

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.

281 : 1, 281

142 : 1, 2, 71, 142

165 : 1, 3, 5, 11, 15, 33, 55, 165

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,142,165,490, is 1.

Now, the common factors can be found like this.

281:281

142:2x 71

165:3x 5x 11

490:2x 5x 7x 7

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 = 3226076700/(1x10)

LCM = 3226076700/10

LCM = 322607670

Thus, we can understand that the LCM of 281,142,165,490 is 322607670.

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

• LCM of 683, 528, 737, 300
• LCM of 947, 236, 325, 100
• LCM of 869, 614, 932, 905
• LCM of 523, 459, 494, 179
• LCM of 560, 377, 738, 340

1. What is the LCM of 281, 142, 165, 490?

Answer: LCM of 281, 142, 165, 490 is 322607670.

2. How to calculate the LCM of 281, 142, 165, 490?

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 281, 142, 165, 490.

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}.