Given numbers are 217,496,961,674

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

The LCM of 217,496,961,674 is 36271984.

Find LCM of 217,496,961,674 with Prime Factorization

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

2 x 31 x 7 x 8 x 31 x 337 = 36271984

Therefore, the lowest common multiple of 217,496,961,674 is 36271984.

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.

217 x 496 x 961 x 674 = 69714753248

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.

217 : 1, 7, 31, 217

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

961 : 1, 31, 961

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,496,961,674, is 1.

Now, the common factors can be found like this.

217:7x 31

496:2x 2x 2x 2x 31

961:31x 31

674:2x 337

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

2x 31x 31 = 1922

Therefore, the value for common factors is 1922.

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 = 69714753248/(1x1922)

LCM = 69714753248/1922

LCM = 36271984

Thus, we can understand that the LCM of 217,496,961,674 is 36271984.

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

• LCM of 297, 396, 817, 412
• LCM of 514, 842, 819, 943
• LCM of 649, 753, 575, 775
• LCM of 349, 686, 870, 722
• LCM of 897, 282, 272, 277

1. What is the LCM of 217, 496, 961, 674?

Answer: LCM of 217, 496, 961, 674 is 36271984.

2. How to calculate the LCM of 217, 496, 961, 674?

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 217, 496, 961, 674.

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}.