Given numbers are 682,248,259,489

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

The LCM of 682,248,259,489 is 345503928.

Find LCM of 682,248,259,489 with Prime Factorization

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

2 x 31 x 11 x 4 x 259 x 489 = 345503928

Therefore, the lowest common multiple of 682,248,259,489 is 345503928.

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.

682 x 248 x 259 x 489 = 21421243536

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

248 : 1, 2, 4, 8, 31, 62, 124, 248

259 : 1, 7, 37, 259

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,248,259,489, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

248:2x 2x 2x 31

259:7x 37

489:3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 21421243536/(1x62)

LCM = 21421243536/62

LCM = 345503928

Thus, we can understand that the LCM of 682,248,259,489 is 345503928.

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

• LCM of 325, 879, 457, 735
• LCM of 293, 122, 217, 911
• LCM of 306, 790, 552, 226
• LCM of 657, 503, 800, 147
• LCM of 463, 588, 919, 159

1. What is the LCM of 682, 248, 259, 489?

Answer: LCM of 682, 248, 259, 489 is 345503928.

2. How to calculate the LCM of 682, 248, 259, 489?

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 682, 248, 259, 489.

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}.