Given numbers are 399,14,561

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

The LCM of 399,14,561 is 149226.

Find LCM of 399,14,561 with Prime Factorization

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

3 x 7 x 19 x 2 x 187 = 149226

Therefore, the lowest common multiple of 399,14,561 is 149226.

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.

399 x 14 x 561 = 3133746

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

14 : 1, 2, 7, 14

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,14,561, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

14:2x 7

561:3x 11x 17

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 3133746/(1x21)

LCM = 3133746/21

LCM = 149226

Thus, we can understand that the LCM of 399,14,561 is 149226.

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

• LCM of 941, 74, 109
• LCM of 735, 43, 248
• LCM of 918, 45, 853
• LCM of 237, 82, 871
• LCM of 958, 65, 890

1. What is the LCM of 399, 14, 561?

Answer: LCM of 399, 14, 561 is 149226.

2. How to calculate the LCM of 399, 14, 561?

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 399, 14, 561.

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}.