Given numbers are 282,69,654

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

The LCM of 282,69,654 is 706974.

Find LCM of 282,69,654 with Prime Factorization

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

2 x 3 x 47 x 23 x 109 = 706974

Therefore, the lowest common multiple of 282,69,654 is 706974.

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.

282 x 69 x 654 = 12725532

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

69 : 1, 3, 23, 69

654 : 1, 2, 3, 6, 109, 218, 327, 654

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,69,654, is 3.

Now, the common factors can be found like this.

282:2x 3x 47

69:3x 23

654:2x 3x 109

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 12725532/(3x6)

LCM = 12725532/18

LCM = 706974

Thus, we can understand that the LCM of 282,69,654 is 706974.

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

• LCM of 161, 49, 825
• LCM of 860, 81, 401
• LCM of 735, 69, 933
• LCM of 626, 19, 215
• LCM of 304, 50, 207

1. What is the LCM of 282, 69, 654?

Answer: LCM of 282, 69, 654 is 706974.

2. How to calculate the LCM of 282, 69, 654?

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 282, 69, 654.

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}.