Given numbers are 312,771,147,788,133

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

The LCM of 312,771,147,788,133 is 14706306888.

Find LCM of 312,771,147,788,133 with Prime Factorization

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

2 x 2 x 3 x 7 x 26 x 257 x 7 x 197 x 19 = 14706306888

Therefore, the lowest common multiple of 312,771,147,788,133 is 14706306888.

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 771 x 147 x 788 x 133 = 3705989335776

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

771 : 1, 3, 257, 771

147 : 1, 3, 7, 21, 49, 147

788 : 1, 2, 4, 197, 394, 788

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,771,147,788,133, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

771:3x 257

147:3x 7x 7

788:2x 2x 197

133:7x 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 2x 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 3705989335776/(1x252)

LCM = 3705989335776/252

LCM = 14706306888

Thus, we can understand that the LCM of 312,771,147,788,133 is 14706306888.

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

• LCM of 235, 736, 179, 712, 566
• LCM of 427, 543, 202, 695, 644
• LCM of 386, 185, 469, 691, 720
• LCM of 279, 180, 173, 628, 858
• LCM of 675, 470, 796, 166, 383

1. What is the LCM of 312, 771, 147, 788, 133?

Answer: LCM of 312, 771, 147, 788, 133 is 14706306888.

2. How to calculate the LCM of 312, 771, 147, 788, 133?

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, 771, 147, 788, 133.

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}.