Given numbers are 221,490,141,208

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

The LCM of 221,490,141,208 is 122151120.

Find LCM of 221,490,141,208 with Prime Factorization

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

2 x 13 x 17 x 245 x 141 x 8 = 122151120

Therefore, the lowest common multiple of 221,490,141,208 is 122151120.

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 490 x 141 x 208 = 3175929120

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

141 : 1, 3, 47, 141

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 221,490,141,208, is 1.

Now, the common factors can be found like this.

221:13x 17

490:2x 5x 7x 7

141:3x 47

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 13 = 26

Therefore, the value for common factors is 26.

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 = 3175929120/(1x26)

LCM = 3175929120/26

LCM = 122151120

Thus, we can understand that the LCM of 221,490,141,208 is 122151120.

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

• LCM of 923, 802, 607, 853
• LCM of 544, 609, 343, 913
• LCM of 123, 271, 295, 789
• LCM of 903, 376, 614, 573
• LCM of 574, 618, 207, 588

1. What is the LCM of 221, 490, 141, 208?

Answer: LCM of 221, 490, 141, 208 is 122151120.

2. How to calculate the LCM of 221, 490, 141, 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, 490, 141, 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}.