Given numbers are 213,409,241,409,689

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

The LCM of 213,409,241,409,689 is 14465690733.

Find LCM of 213,409,241,409,689 with Prime Factorization

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

409 x 213 x 1 x 241 x 1 x 689 = 14465690733

Therefore, the lowest common multiple of 213,409,241,409,689 is 14465690733.

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.

213 x 409 x 241 x 409 x 689 = 5916467509797

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.

213 : 1, 3, 71, 213

409 : 1, 409

241 : 1, 241

409 : 1, 409

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,409,241,409,689, is 1.

Now, the common factors can be found like this.

213:3x 71

409:409

241:241

409:409

689:13x 53

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 = 5916467509797/(1x409)

LCM = 5916467509797/409

LCM = 14465690733

Thus, we can understand that the LCM of 213,409,241,409,689 is 14465690733.

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

• LCM of 217, 472, 775, 372, 602
• LCM of 696, 894, 461, 308, 911
• LCM of 592, 349, 476, 467, 205
• LCM of 976, 638, 266, 831, 102
• LCM of 496, 718, 770, 652, 497

1. What is the LCM of 213, 409, 241, 409, 689?

Answer: LCM of 213, 409, 241, 409, 689 is 14465690733.

2. How to calculate the LCM of 213, 409, 241, 409, 689?

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 213, 409, 241, 409, 689.

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}.