Given numbers are 704,149,318,337,966

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

The LCM of 704,149,318,337,966 is 904923421248.

Find LCM of 704,149,318,337,966 with Prime Factorization

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

2 x 3 x 352 x 149 x 53 x 337 x 161 = 904923421248

Therefore, the lowest common multiple of 704,149,318,337,966 is 904923421248.

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.

704 x 149 x 318 x 337 x 966 = 10859081054976

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

149 : 1, 149

318 : 1, 2, 3, 6, 53, 106, 159, 318

337 : 1, 337

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,149,318,337,966, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

149:149

318:2x 3x 53

337:337

966:2x 3x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 10859081054976/(1x12)

LCM = 10859081054976/12

LCM = 904923421248

Thus, we can understand that the LCM of 704,149,318,337,966 is 904923421248.

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

• LCM of 319, 536, 624, 403, 718
• LCM of 562, 294, 989, 583, 499
• LCM of 680, 795, 882, 645, 586
• LCM of 681, 910, 576, 706, 217
• LCM of 936, 839, 664, 151, 344

1. What is the LCM of 704, 149, 318, 337, 966?

Answer: LCM of 704, 149, 318, 337, 966 is 904923421248.

2. How to calculate the LCM of 704, 149, 318, 337, 966?

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 704, 149, 318, 337, 966.

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}.