Given numbers are 208,306,474,740,520

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

The LCM of 208,306,474,740,520 is 465107760.

Find LCM of 208,306,474,740,520 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 2 x 51 x 79 x 37 x 1 = 465107760

Therefore, the lowest common multiple of 208,306,474,740,520 is 465107760.

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.

208 x 306 x 474 x 740 x 520 = 11609089689600

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.

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

474 : 1, 2, 3, 6, 79, 158, 237, 474

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,306,474,740,520, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

306:2x 3x 3x 17

474:2x 3x 79

740:2x 2x 5x 37

520:2x 2x 2x 5x 13

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 2x 3x 5x 13 = 12480

Therefore, the value for common factors is 12480.

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 = 11609089689600/(2x12480)

LCM = 11609089689600/24960

LCM = 465107760

Thus, we can understand that the LCM of 208,306,474,740,520 is 465107760.

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

• LCM of 194, 645, 757, 306, 402
• LCM of 585, 423, 658, 768, 420
• LCM of 246, 666, 950, 711, 351
• LCM of 645, 338, 290, 599, 305
• LCM of 570, 801, 719, 183, 245

1. What is the LCM of 208, 306, 474, 740, 520?

Answer: LCM of 208, 306, 474, 740, 520 is 465107760.

2. How to calculate the LCM of 208, 306, 474, 740, 520?

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 208, 306, 474, 740, 520.

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}.