Given numbers are 409,493,435

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

The LCM of 409,493,435 is 3024555.

Find LCM of 409,493,435 with Prime Factorization

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

29 x 409 x 17 x 15 = 3024555

Therefore, the lowest common multiple of 409,493,435 is 3024555.

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 493 x 435 = 87712095

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

493 : 1, 17, 29, 493

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,493,435, is 1.

Now, the common factors can be found like this.

409:409

493:17x 29

435:3x 5x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 87712095/(1x29)

LCM = 87712095/29

LCM = 3024555

Thus, we can understand that the LCM of 409,493,435 is 3024555.

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

• LCM of 405, 160, 478
• LCM of 598, 719, 500
• LCM of 199, 997, 283
• LCM of 621, 889, 705
• LCM of 979, 928, 848

1. What is the LCM of 409, 493, 435?

Answer: LCM of 409, 493, 435 is 3024555.

2. How to calculate the LCM of 409, 493, 435?

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, 493, 435.

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}.