Given numbers are 208,325,407,403

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

The LCM of 208,325,407,403 is 65608400.

Find LCM of 208,325,407,403 with Prime Factorization

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

13 x 16 x 25 x 407 x 31 = 65608400

Therefore, the lowest common multiple of 208,325,407,403 is 65608400.

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 325 x 407 x 403 = 11087819600

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

325 : 1, 5, 13, 25, 65, 325

407 : 1, 11, 37, 407

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,325,407,403, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

325:5x 5x 13

407:11x 37

403:13x 31

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 11087819600/(1x169)

LCM = 11087819600/169

LCM = 65608400

Thus, we can understand that the LCM of 208,325,407,403 is 65608400.

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

• LCM of 832, 174, 925, 609
• LCM of 492, 257, 300, 745
• LCM of 674, 776, 477, 751
• LCM of 710, 942, 653, 658
• LCM of 506, 166, 170, 337

1. What is the LCM of 208, 325, 407, 403?

Answer: LCM of 208, 325, 407, 403 is 65608400.

2. How to calculate the LCM of 208, 325, 407, 403?

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, 325, 407, 403.

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}.