Given numbers are 312,133,194,437,712

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

The LCM of 312,133,194,437,712 is 8239404264.

Find LCM of 312,133,194,437,712 with Prime Factorization

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

2 x 2 x 2 x 19 x 39 x 7 x 97 x 23 x 89 = 8239404264

Therefore, the lowest common multiple of 312,133,194,437,712 is 8239404264.

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.

312 x 133 x 194 x 437 x 712 = 2504778896256

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

133 : 1, 7, 19, 133

194 : 1, 2, 97, 194

437 : 1, 19, 23, 437

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,133,194,437,712, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

133:7x 19

194:2x 97

437:19x 23

712:2x 2x 2x 89

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 2x 19 = 304

Therefore, the value for common factors is 304.

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 = 2504778896256/(1x304)

LCM = 2504778896256/304

LCM = 8239404264

Thus, we can understand that the LCM of 312,133,194,437,712 is 8239404264.

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

• LCM of 180, 444, 922, 200, 728
• LCM of 777, 769, 973, 554, 143
• LCM of 464, 652, 206, 760, 688
• LCM of 786, 683, 998, 507, 402
• LCM of 710, 864, 918, 780, 828

1. What is the LCM of 312, 133, 194, 437, 712?

Answer: LCM of 312, 133, 194, 437, 712 is 8239404264.

2. How to calculate the LCM of 312, 133, 194, 437, 712?

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 312, 133, 194, 437, 712.

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}.