Given numbers are 904,814,142,194,676

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

The LCM of 904,814,142,194,676 is 428232502984.

Find LCM of 904,814,142,194,676 with Prime Factorization

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

2 x 2 x 226 x 407 x 71 x 97 x 169 = 428232502984

Therefore, the lowest common multiple of 904,814,142,194,676 is 428232502984.

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.

904 x 814 x 142 x 194 x 676 = 13703440095488

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

814 : 1, 2, 11, 22, 37, 74, 407, 814

142 : 1, 2, 71, 142

194 : 1, 2, 97, 194

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,814,142,194,676, is 2.

Now, the common factors can be found like this.

904:2x 2x 2x 113

814:2x 11x 37

142:2x 71

194:2x 97

676:2x 2x 13x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 13703440095488/(2x16)

LCM = 13703440095488/32

LCM = 428232502984

Thus, we can understand that the LCM of 904,814,142,194,676 is 428232502984.

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

• LCM of 123, 843, 418, 681, 146
• LCM of 401, 522, 945, 724, 346
• LCM of 445, 988, 330, 683, 343
• LCM of 606, 742, 781, 912, 143
• LCM of 177, 650, 682, 982, 773

1. What is the LCM of 904, 814, 142, 194, 676?

Answer: LCM of 904, 814, 142, 194, 676 is 428232502984.

2. How to calculate the LCM of 904, 814, 142, 194, 676?

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 904, 814, 142, 194, 676.

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}.