Given numbers are 300,208,347,497

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

The LCM of 300,208,347,497 is 2690360400.

Find LCM of 300,208,347,497 with Prime Factorization

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

2 x 2 x 75 x 52 x 347 x 497 = 2690360400

Therefore, the lowest common multiple of 300,208,347,497 is 2690360400.

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.

300 x 208 x 347 x 497 = 10761441600

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

347 : 1, 347

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,208,347,497, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

208:2x 2x 2x 2x 13

347:347

497:7x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10761441600/(1x4)

LCM = 10761441600/4

LCM = 2690360400

Thus, we can understand that the LCM of 300,208,347,497 is 2690360400.

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

• LCM of 120, 464, 972, 384
• LCM of 120, 269, 577, 491
• LCM of 886, 157, 457, 298
• LCM of 529, 655, 805, 685
• LCM of 138, 789, 642, 674

1. What is the LCM of 300, 208, 347, 497?

Answer: LCM of 300, 208, 347, 497 is 2690360400.

2. How to calculate the LCM of 300, 208, 347, 497?

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 300, 208, 347, 497.

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}.