Given numbers are 676,270,348,604,123

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

The LCM of 676,270,348,604,123 is 16384729140.

Find LCM of 676,270,348,604,123 with Prime Factorization

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

2 x 2 x 3 x 169 x 45 x 29 x 151 x 41 = 16384729140

Therefore, the lowest common multiple of 676,270,348,604,123 is 16384729140.

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.

676 x 270 x 348 x 604 x 123 = 4718801992320

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.

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

604 : 1, 2, 4, 151, 302, 604

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,270,348,604,123, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

270:2x 3x 3x 3x 5

348:2x 2x 3x 29

604:2x 2x 151

123:3x 41

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 4718801992320/(1x288)

LCM = 4718801992320/288

LCM = 16384729140

Thus, we can understand that the LCM of 676,270,348,604,123 is 16384729140.

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

• LCM of 751, 182, 143, 729, 417
• LCM of 329, 873, 371, 740, 630
• LCM of 370, 977, 975, 738, 633
• LCM of 108, 592, 389, 883, 266
• LCM of 438, 576, 118, 682, 749

1. What is the LCM of 676, 270, 348, 604, 123?

Answer: LCM of 676, 270, 348, 604, 123 is 16384729140.

2. How to calculate the LCM of 676, 270, 348, 604, 123?

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 676, 270, 348, 604, 123.

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}.