Given numbers are 306,947,560,584

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

The LCM of 306,947,560,584 is 5923144080.

Find LCM of 306,947,560,584 with Prime Factorization

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

2 x 2 x 2 x 153 x 947 x 70 x 73 = 5923144080

Therefore, the lowest common multiple of 306,947,560,584 is 5923144080.

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 947 x 560 x 584 = 94770305280

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

947 : 1, 947

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,947,560,584, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

947:947

560:2x 2x 2x 2x 5x 7

584:2x 2x 2x 73

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 94770305280/(1x16)

LCM = 94770305280/16

LCM = 5923144080

Thus, we can understand that the LCM of 306,947,560,584 is 5923144080.

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

• LCM of 428, 791, 862, 796
• LCM of 955, 856, 973, 544
• LCM of 846, 586, 486, 402
• LCM of 215, 769, 929, 806
• LCM of 668, 100, 457, 550

1. What is the LCM of 306, 947, 560, 584?

Answer: LCM of 306, 947, 560, 584 is 5923144080.

2. How to calculate the LCM of 306, 947, 560, 584?

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, 947, 560, 584.

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}.