Given numbers are 688,192,438,691

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

The LCM of 688,192,438,691 is 416457408.

Find LCM of 688,192,438,691 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 43 x 4 x 73 x 691 = 416457408

Therefore, the lowest common multiple of 688,192,438,691 is 416457408.

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.

688 x 192 x 438 x 691 = 39979911168

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,192,438,691, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

192:2x 2x 2x 2x 2x 2x 3

438:2x 3x 73

691:691

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 39979911168/(1x96)

LCM = 39979911168/96

LCM = 416457408

Thus, we can understand that the LCM of 688,192,438,691 is 416457408.

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

• LCM of 709, 312, 528, 996
• LCM of 750, 522, 899, 833
• LCM of 615, 458, 505, 280
• LCM of 188, 790, 575, 107
• LCM of 519, 343, 368, 728

1. What is the LCM of 688, 192, 438, 691?

Answer: LCM of 688, 192, 438, 691 is 416457408.

2. How to calculate the LCM of 688, 192, 438, 691?

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 688, 192, 438, 691.

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}.