Given numbers are 208,326,849,690,882

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

The LCM of 208,326,849,690,882 is 486601904880.

Find LCM of 208,326,849,690,882 with Prime Factorization

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

2 x 3 x 104 x 163 x 283 x 115 x 147 = 486601904880

Therefore, the lowest common multiple of 208,326,849,690,882 is 486601904880.

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 326 x 849 x 690 x 882 = 35035337151360

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

326 : 1, 2, 163, 326

849 : 1, 3, 283, 849

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,326,849,690,882, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

326:2x 163

849:3x 283

690:2x 3x 5x 23

882:2x 3x 3x 7x 7

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 35035337151360/(1x72)

LCM = 35035337151360/72

LCM = 486601904880

Thus, we can understand that the LCM of 208,326,849,690,882 is 486601904880.

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

• LCM of 876, 427, 624, 509, 553
• LCM of 901, 529, 260, 776, 274
• LCM of 889, 139, 501, 876, 803
• LCM of 294, 609, 826, 999, 868
• LCM of 530, 456, 824, 588, 388

1. What is the LCM of 208, 326, 849, 690, 882?

Answer: LCM of 208, 326, 849, 690, 882 is 486601904880.

2. How to calculate the LCM of 208, 326, 849, 690, 882?

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, 326, 849, 690, 882.

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}.