Given numbers are 676,667,327,806,972

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

The LCM of 676,667,327,806,972 is 370226068524.

Find LCM of 676,667,327,806,972 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 667 x 109 x 31 x 81 = 370226068524

Therefore, the lowest common multiple of 676,667,327,806,972 is 370226068524.

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 667 x 327 x 806 x 972 = 115510533379488

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

667 : 1, 23, 29, 667

327 : 1, 3, 109, 327

806 : 1, 2, 13, 26, 31, 62, 403, 806

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,667,327,806,972, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

667:23x 29

327:3x 109

806:2x 13x 31

972:2x 2x 3x 3x 3x 3x 3

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 13 = 312

Therefore, the value for common factors is 312.

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 = 115510533379488/(1x312)

LCM = 115510533379488/312

LCM = 370226068524

Thus, we can understand that the LCM of 676,667,327,806,972 is 370226068524.

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

• LCM of 638, 488, 297, 258, 728
• LCM of 713, 684, 568, 115, 261
• LCM of 474, 789, 784, 825, 922
• LCM of 780, 702, 490, 614, 588
• LCM of 138, 258, 232, 180, 211

1. What is the LCM of 676, 667, 327, 806, 972?

Answer: LCM of 676, 667, 327, 806, 972 is 370226068524.

2. How to calculate the LCM of 676, 667, 327, 806, 972?

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, 667, 327, 806, 972.

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}.