Given numbers are 208,107,902,121,232

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

The LCM of 208,107,902,121,232 is 3201948464.

Find LCM of 208,107,902,121,232 with Prime Factorization

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

2 x 2 x 2 x 11 x 26 x 107 x 41 x 11 x 29 = 3201948464

Therefore, the lowest common multiple of 208,107,902,121,232 is 3201948464.

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 107 x 902 x 121 x 232 = 563542929664

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

107 : 1, 107

902 : 1, 2, 11, 22, 41, 82, 451, 902

121 : 1, 11, 121

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,107,902,121,232, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

107:107

902:2x 11x 41

121:11x 11

232:2x 2x 2x 29

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 11 = 176

Therefore, the value for common factors is 176.

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 = 563542929664/(1x176)

LCM = 563542929664/176

LCM = 3201948464

Thus, we can understand that the LCM of 208,107,902,121,232 is 3201948464.

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

• LCM of 107, 414, 270, 857, 578
• LCM of 292, 315, 216, 727, 620
• LCM of 921, 222, 152, 570, 601
• LCM of 212, 669, 766, 854, 282
• LCM of 667, 550, 764, 133, 219

1. What is the LCM of 208, 107, 902, 121, 232?

Answer: LCM of 208, 107, 902, 121, 232 is 3201948464.

2. How to calculate the LCM of 208, 107, 902, 121, 232?

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, 107, 902, 121, 232.

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}.