Given numbers are 208,184,276,341,905

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

The LCM of 208,184,276,341,905 is 4429098960.

Find LCM of 208,184,276,341,905 with Prime Factorization

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

2 x 2 x 2 x 23 x 26 x 1 x 3 x 341 x 905 = 4429098960

Therefore, the lowest common multiple of 208,184,276,341,905 is 4429098960.

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 184 x 276 x 341 x 905 = 3259816834560

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

184 : 1, 2, 4, 8, 23, 46, 92, 184

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

341 : 1, 11, 31, 341

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,184,276,341,905, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

184:2x 2x 2x 23

276:2x 2x 3x 23

341:11x 31

905:5x 181

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

2x 2x 2x 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 3259816834560/(1x736)

LCM = 3259816834560/736

LCM = 4429098960

Thus, we can understand that the LCM of 208,184,276,341,905 is 4429098960.

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

• LCM of 780, 901, 661, 294, 706
• LCM of 660, 933, 774, 206, 197
• LCM of 463, 149, 569, 423, 460
• LCM of 585, 675, 924, 500, 830
• LCM of 830, 450, 120, 385, 741

1. What is the LCM of 208, 184, 276, 341, 905?

Answer: LCM of 208, 184, 276, 341, 905 is 4429098960.

2. How to calculate the LCM of 208, 184, 276, 341, 905?

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, 184, 276, 341, 905.

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}.