Given numbers are 409,350,473,409

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

The LCM of 409,350,473,409 is 67709950.

Find LCM of 409,350,473,409 with Prime Factorization

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

409 x 1 x 350 x 473 x 1 = 67709950

Therefore, the lowest common multiple of 409,350,473,409 is 67709950.

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 350 x 473 x 409 = 27693369550

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

473 : 1, 11, 43, 473

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,350,473,409, is 1.

Now, the common factors can be found like this.

409:409

350:2x 5x 5x 7

473:11x 43

409:409

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

409 = 409

Therefore, the value for common factors is 409.

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 = 27693369550/(1x409)

LCM = 27693369550/409

LCM = 67709950

Thus, we can understand that the LCM of 409,350,473,409 is 67709950.

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

• LCM of 868, 674, 381, 459
• LCM of 169, 675, 669, 960
• LCM of 963, 294, 251, 961
• LCM of 173, 296, 539, 656
• LCM of 383, 104, 155, 247

1. What is the LCM of 409, 350, 473, 409?

Answer: LCM of 409, 350, 473, 409 is 67709950.

2. How to calculate the LCM of 409, 350, 473, 409?

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, 350, 473, 409.

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}.