Given numbers are 260,208,270,415,420

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

The LCM of 260,208,270,415,420 is 16314480.

Find LCM of 260,208,270,415,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 4 x 9 x 83 x 7 = 16314480

Therefore, the lowest common multiple of 260,208,270,415,420 is 16314480.

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 208 x 270 x 415 x 420 = 2545058880000

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

415 : 1, 5, 83, 415

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,208,270,415,420, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

208:2x 2x 2x 2x 13

270:2x 3x 3x 3x 5

415:5x 83

420:2x 2x 3x 5x 7

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 3x 5x 5x 5x 13 = 156000

Therefore, the value for common factors is 156000.

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 = 2545058880000/(1x156000)

LCM = 2545058880000/156000

LCM = 16314480

Thus, we can understand that the LCM of 260,208,270,415,420 is 16314480.

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

• LCM of 775, 289, 220, 843, 719
• LCM of 405, 421, 162, 606, 420
• LCM of 595, 800, 616, 280, 100
• LCM of 453, 414, 454, 780, 624
• LCM of 608, 495, 267, 104, 775

1. What is the LCM of 260, 208, 270, 415, 420?

Answer: LCM of 260, 208, 270, 415, 420 is 16314480.

2. How to calculate the LCM of 260, 208, 270, 415, 420?

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, 208, 270, 415, 420.

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}.