Given numbers are 282,131,466

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

The LCM of 282,131,466 is 8607486.

Find LCM of 282,131,466 with Prime Factorization

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

2 x 141 x 131 x 233 = 8607486

Therefore, the lowest common multiple of 282,131,466 is 8607486.

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 131 x 466 = 17214972

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

131 : 1, 131

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,131,466, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

131:131

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 17214972/(1x2)

LCM = 17214972/2

LCM = 8607486

Thus, we can understand that the LCM of 282,131,466 is 8607486.

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

• LCM of 965, 242, 416
• LCM of 481, 973, 220
• LCM of 264, 759, 841
• LCM of 523, 487, 508
• LCM of 131, 814, 213

1. What is the LCM of 282, 131, 466?

Answer: LCM of 282, 131, 466 is 8607486.

2. How to calculate the LCM of 282, 131, 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 282, 131, 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}.