Given numbers are 306,311,605,978

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

The LCM of 306,311,605,978 is 9384795090.

Find LCM of 306,311,605,978 with Prime Factorization

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

2 x 3 x 51 x 311 x 605 x 163 = 9384795090

Therefore, the lowest common multiple of 306,311,605,978 is 9384795090.

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 311 x 605 x 978 = 56308770540

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

311 : 1, 311

605 : 1, 5, 11, 55, 121, 605

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,311,605,978, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

311:311

605:5x 11x 11

978:2x 3x 163

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 = 56308770540/(1x6)

LCM = 56308770540/6

LCM = 9384795090

Thus, we can understand that the LCM of 306,311,605,978 is 9384795090.

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

• LCM of 270, 190, 231, 118
• LCM of 580, 465, 839, 166
• LCM of 561, 826, 977, 875
• LCM of 677, 859, 202, 894
• LCM of 881, 399, 968, 171

1. What is the LCM of 306, 311, 605, 978?

Answer: LCM of 306, 311, 605, 978 is 9384795090.

2. How to calculate the LCM of 306, 311, 605, 978?

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, 311, 605, 978.

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}.