Given numbers are 785,121,924,977,167

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

The LCM of 785,121,924,977,167 is 1301803239660.

Find LCM of 785,121,924,977,167 with Prime Factorization

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

11 x 785 x 11 x 84 x 977 x 167 = 1301803239660

Therefore, the lowest common multiple of 785,121,924,977,167 is 1301803239660.

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.

785 x 121 x 924 x 977 x 167 = 14319835636260

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.

785 : 1, 5, 157, 785

121 : 1, 11, 121

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

977 : 1, 977

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,121,924,977,167, is 1.

Now, the common factors can be found like this.

785:5x 157

121:11x 11

924:2x 2x 3x 7x 11

977:977

167:167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 14319835636260/(1x11)

LCM = 14319835636260/11

LCM = 1301803239660

Thus, we can understand that the LCM of 785,121,924,977,167 is 1301803239660.

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

• LCM of 172, 150, 420, 542, 399
• LCM of 580, 921, 754, 283, 782
• LCM of 575, 401, 188, 317, 364
• LCM of 697, 604, 264, 285, 925
• LCM of 857, 274, 759, 256, 397

1. What is the LCM of 785, 121, 924, 977, 167?

Answer: LCM of 785, 121, 924, 977, 167 is 1301803239660.

2. How to calculate the LCM of 785, 121, 924, 977, 167?

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 785, 121, 924, 977, 167.

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}.