Given numbers are 321,246,287,491

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

The LCM of 321,246,287,491 is 90468714.

Find LCM of 321,246,287,491 with Prime Factorization

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

3 x 41 x 107 x 2 x 7 x 491 = 90468714

Therefore, the lowest common multiple of 321,246,287,491 is 90468714.

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.

321 x 246 x 287 x 491 = 11127651822

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.

321 : 1, 3, 107, 321

246 : 1, 2, 3, 6, 41, 82, 123, 246

287 : 1, 7, 41, 287

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,246,287,491, is 1.

Now, the common factors can be found like this.

321:3x 107

246:2x 3x 41

287:7x 41

491:491

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 11127651822/(1x123)

LCM = 11127651822/123

LCM = 90468714

Thus, we can understand that the LCM of 321,246,287,491 is 90468714.

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

• LCM of 834, 740, 470, 681
• LCM of 409, 715, 458, 666
• LCM of 908, 539, 346, 994
• LCM of 856, 532, 348, 325
• LCM of 300, 617, 588, 987

1. What is the LCM of 321, 246, 287, 491?

Answer: LCM of 321, 246, 287, 491 is 90468714.

2. How to calculate the LCM of 321, 246, 287, 491?

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 321, 246, 287, 491.

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}.