Given numbers are 221,402,458,350,208

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

The LCM of 221,402,458,350,208 is 28482745200.

Find LCM of 221,402,458,350,208 with Prime Factorization

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

2 x 13 x 17 x 201 x 229 x 175 x 8 = 28482745200

Therefore, the lowest common multiple of 221,402,458,350,208 is 28482745200.

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.

221 x 402 x 458 x 350 x 208 = 2962205500800

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.

221 : 1, 13, 17, 221

402 : 1, 2, 3, 6, 67, 134, 201, 402

458 : 1, 2, 229, 458

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,402,458,350,208, is 1.

Now, the common factors can be found like this.

221:13x 17

402:2x 3x 67

458:2x 229

350:2x 5x 5x 7

208:2x 2x 2x 2x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 2962205500800/(1x104)

LCM = 2962205500800/104

LCM = 28482745200

Thus, we can understand that the LCM of 221,402,458,350,208 is 28482745200.

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

• LCM of 356, 765, 858, 706, 349
• LCM of 282, 890, 540, 229, 698
• LCM of 907, 680, 337, 601, 963
• LCM of 776, 955, 482, 890, 238
• LCM of 971, 471, 408, 182, 154

1. What is the LCM of 221, 402, 458, 350, 208?

Answer: LCM of 221, 402, 458, 350, 208 is 28482745200.

2. How to calculate the LCM of 221, 402, 458, 350, 208?

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 221, 402, 458, 350, 208.

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}.