Given numbers are 691,194,438,660,704

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

The LCM of 691,194,438,660,704 is 51669773760.

Find LCM of 691,194,438,660,704 with Prime Factorization

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

2 x 2 x 3 x 11 x 691 x 97 x 73 x 5 x 16 = 51669773760

Therefore, the lowest common multiple of 691,194,438,660,704 is 51669773760.

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.

691 x 194 x 438 x 660 x 704 = 27281640545280

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.

691 : 1, 691

194 : 1, 2, 97, 194

438 : 1, 2, 3, 6, 73, 146, 219, 438

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,194,438,660,704, is 1.

Now, the common factors can be found like this.

691:691

194:2x 97

438:2x 3x 73

660:2x 2x 3x 5x 11

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

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 27281640545280/(1x528)

LCM = 27281640545280/528

LCM = 51669773760

Thus, we can understand that the LCM of 691,194,438,660,704 is 51669773760.

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

• LCM of 620, 369, 113, 191, 949
• LCM of 375, 986, 547, 892, 392
• LCM of 138, 115, 375, 692, 145
• LCM of 309, 423, 614, 409, 574
• LCM of 940, 608, 767, 518, 385

1. What is the LCM of 691, 194, 438, 660, 704?

Answer: LCM of 691, 194, 438, 660, 704 is 51669773760.

2. How to calculate the LCM of 691, 194, 438, 660, 704?

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 691, 194, 438, 660, 704.

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}.