Given numbers are 281,442,690,230,198

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

The LCM of 281,442,690,230,198 is 1414039770.

Find LCM of 281,442,690,230,198 with Prime Factorization

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

2 x 3 x 5 x 23 x 281 x 221 x 1 x 1 x 33 = 1414039770

Therefore, the lowest common multiple of 281,442,690,230,198 is 1414039770.

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 442 x 690 x 230 x 198 = 3902749765200

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

230 : 1, 2, 5, 10, 23, 46, 115, 230

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,442,690,230,198, is 1.

Now, the common factors can be found like this.

281:281

442:2x 13x 17

690:2x 3x 5x 23

230:2x 5x 23

198:2x 3x 3x 11

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 3x 5x 23 = 2760

Therefore, the value for common factors is 2760.

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 = 3902749765200/(1x2760)

LCM = 3902749765200/2760

LCM = 1414039770

Thus, we can understand that the LCM of 281,442,690,230,198 is 1414039770.

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

• LCM of 573, 513, 359, 294, 271
• LCM of 152, 468, 833, 767, 679
• LCM of 515, 566, 698, 795, 464
• LCM of 185, 239, 410, 784, 973
• LCM of 340, 376, 397, 880, 263

1. What is the LCM of 281, 442, 690, 230, 198?

Answer: LCM of 281, 442, 690, 230, 198 is 1414039770.

2. How to calculate the LCM of 281, 442, 690, 230, 198?

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, 442, 690, 230, 198.

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}.