Given numbers are 409,438,375,566

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

The LCM of 409,438,375,566 is 6337148250.

Find LCM of 409,438,375,566 with Prime Factorization

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

2 x 3 x 409 x 73 x 125 x 283 = 6337148250

Therefore, the lowest common multiple of 409,438,375,566 is 6337148250.

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.

409 x 438 x 375 x 566 = 38022889500

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.

409 : 1, 409

438 : 1, 2, 3, 6, 73, 146, 219, 438

375 : 1, 3, 5, 15, 25, 75, 125, 375

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,438,375,566, is 1.

Now, the common factors can be found like this.

409:409

438:2x 3x 73

375:3x 5x 5x 5

566:2x 283

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 38022889500/(1x6)

LCM = 38022889500/6

LCM = 6337148250

Thus, we can understand that the LCM of 409,438,375,566 is 6337148250.

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

• LCM of 812, 984, 402, 893
• LCM of 475, 558, 128, 728
• LCM of 462, 779, 181, 351
• LCM of 832, 415, 296, 441
• LCM of 327, 397, 706, 410

1. What is the LCM of 409, 438, 375, 566?

Answer: LCM of 409, 438, 375, 566 is 6337148250.

2. How to calculate the LCM of 409, 438, 375, 566?

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 409, 438, 375, 566.

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}.