Given numbers are 306,196,326,418

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

The LCM of 306,196,326,418 is 1021601196.

Find LCM of 306,196,326,418 with Prime Factorization

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

2 x 153 x 98 x 163 x 209 = 1021601196

Therefore, the lowest common multiple of 306,196,326,418 is 1021601196.

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.

306 x 196 x 326 x 418 = 8172809568

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

326 : 1, 2, 163, 326

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,196,326,418, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

196:2x 2x 7x 7

326:2x 163

418:2x 11x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8172809568/(2x4)

LCM = 8172809568/8

LCM = 1021601196

Thus, we can understand that the LCM of 306,196,326,418 is 1021601196.

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

• LCM of 689, 124, 742, 778
• LCM of 440, 153, 327, 824
• LCM of 903, 711, 137, 677
• LCM of 545, 715, 259, 414
• LCM of 559, 951, 299, 658

1. What is the LCM of 306, 196, 326, 418?

Answer: LCM of 306, 196, 326, 418 is 1021601196.

2. How to calculate the LCM of 306, 196, 326, 418?

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 306, 196, 326, 418.

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}.