Given numbers are 306,638,974

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

The LCM of 306,638,974 is 47538018.

Find LCM of 306,638,974 with Prime Factorization

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

2 x 153 x 319 x 487 = 47538018

Therefore, the lowest common multiple of 306,638,974 is 47538018.

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 638 x 974 = 190152072

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,638,974, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

638:2x 11x 29

974:2x 487

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 = 190152072/(2x2)

LCM = 190152072/4

LCM = 47538018

Thus, we can understand that the LCM of 306,638,974 is 47538018.

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

• LCM of 181, 475, 430
• LCM of 312, 424, 507
• LCM of 232, 656, 384
• LCM of 618, 997, 102
• LCM of 586, 690, 654

1. What is the LCM of 306, 638, 974?

Answer: LCM of 306, 638, 974 is 47538018.

2. How to calculate the LCM of 306, 638, 974?

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, 638, 974.

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}.