Given numbers are 208,894,219,990

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

The LCM of 208,894,219,990 is 1119895920.

Find LCM of 208,894,219,990 with Prime Factorization

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

2 x 3 x 104 x 149 x 73 x 165 = 1119895920

Therefore, the lowest common multiple of 208,894,219,990 is 1119895920.

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 894 x 219 x 990 = 40316253120

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

219 : 1, 3, 73, 219

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,894,219,990, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

894:2x 3x 149

219:3x 73

990:2x 3x 3x 5x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 40316253120/(1x36)

LCM = 40316253120/36

LCM = 1119895920

Thus, we can understand that the LCM of 208,894,219,990 is 1119895920.

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

• LCM of 182, 141, 523, 999
• LCM of 301, 766, 554, 726
• LCM of 223, 225, 794, 456
• LCM of 269, 547, 697, 876
• LCM of 628, 461, 557, 970

1. What is the LCM of 208, 894, 219, 990?

Answer: LCM of 208, 894, 219, 990 is 1119895920.

2. How to calculate the LCM of 208, 894, 219, 990?

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, 894, 219, 990.

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}.