Given numbers are 409,842,213,421

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

The LCM of 409,842,213,421 is 73352514.

Find LCM of 409,842,213,421 with Prime Factorization

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

421 x 409 x 2 x 213 x 1 = 73352514

Therefore, the lowest common multiple of 409,842,213,421 is 73352514.

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 842 x 213 x 421 = 30881408394

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

842 : 1, 2, 421, 842

213 : 1, 3, 71, 213

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,842,213,421, is 1.

Now, the common factors can be found like this.

409:409

842:2x 421

213:3x 71

421:421

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

421 = 421

Therefore, the value for common factors is 421.

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 = 30881408394/(1x421)

LCM = 30881408394/421

LCM = 73352514

Thus, we can understand that the LCM of 409,842,213,421 is 73352514.

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

• LCM of 457, 402, 346, 506
• LCM of 247, 218, 253, 866
• LCM of 763, 631, 175, 736
• LCM of 797, 550, 968, 133
• LCM of 750, 865, 147, 707

1. What is the LCM of 409, 842, 213, 421?

Answer: LCM of 409, 842, 213, 421 is 73352514.

2. How to calculate the LCM of 409, 842, 213, 421?

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, 842, 213, 421.

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}.