Given numbers are 290,326,696

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

The LCM of 290,326,696 is 567240.

Find LCM of 290,326,696 with Prime Factorization

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

2 x 29 x 5 x 163 x 12 = 567240

Therefore, the lowest common multiple of 290,326,696 is 567240.

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.

290 x 326 x 696 = 65799840

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

326 : 1, 2, 163, 326

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,326,696, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

326:2x 163

696:2x 2x 2x 3x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 65799840/(2x58)

LCM = 65799840/116

LCM = 567240

Thus, we can understand that the LCM of 290,326,696 is 567240.

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

• LCM of 485, 522, 185
• LCM of 981, 350, 482
• LCM of 986, 645, 941
• LCM of 946, 980, 876
• LCM of 763, 898, 427

1. What is the LCM of 290, 326, 696?

Answer: LCM of 290, 326, 696 is 567240.

2. How to calculate the LCM of 290, 326, 696?

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 290, 326, 696.

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}.