Given numbers are 208,452,349,409

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

The LCM of 208,452,349,409 is 3354984464.

Find LCM of 208,452,349,409 with Prime Factorization

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

2 x 2 x 52 x 113 x 349 x 409 = 3354984464

Therefore, the lowest common multiple of 208,452,349,409 is 3354984464.

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.

208 x 452 x 349 x 409 = 13419937856

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

452 : 1, 2, 4, 113, 226, 452

349 : 1, 349

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,452,349,409, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

452:2x 2x 113

349:349

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13419937856/(1x4)

LCM = 13419937856/4

LCM = 3354984464

Thus, we can understand that the LCM of 208,452,349,409 is 3354984464.

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

• LCM of 593, 993, 998, 138
• LCM of 593, 930, 798, 608
• LCM of 549, 237, 511, 312
• LCM of 655, 765, 573, 170
• LCM of 191, 443, 292, 547

1. What is the LCM of 208, 452, 349, 409?

Answer: LCM of 208, 452, 349, 409 is 3354984464.

2. How to calculate the LCM of 208, 452, 349, 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 208, 452, 349, 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}.