Given numbers are 260,318,390,203,717

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

The LCM of 260,318,390,203,717 is 2005692780.

Find LCM of 260,318,390,203,717 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 53 x 1 x 203 x 239 = 2005692780

Therefore, the lowest common multiple of 260,318,390,203,717 is 2005692780.

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.

260 x 318 x 390 x 203 x 717 = 4693321105200

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

203 : 1, 7, 29, 203

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,318,390,203,717, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

318:2x 3x 53

390:2x 3x 5x 13

203:7x 29

717:3x 239

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 3x 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 4693321105200/(1x2340)

LCM = 4693321105200/2340

LCM = 2005692780

Thus, we can understand that the LCM of 260,318,390,203,717 is 2005692780.

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

• LCM of 507, 492, 969, 945, 664
• LCM of 501, 936, 725, 591, 289
• LCM of 770, 170, 710, 944, 338
• LCM of 277, 461, 510, 580, 262
• LCM of 714, 966, 450, 636, 936

1. What is the LCM of 260, 318, 390, 203, 717?

Answer: LCM of 260, 318, 390, 203, 717 is 2005692780.

2. How to calculate the LCM of 260, 318, 390, 203, 717?

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 260, 318, 390, 203, 717.

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}.