Given numbers are 195,149,424,977,410

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

The LCM of 195,149,424,977,410 is 493475001240.

Find LCM of 195,149,424,977,410 with Prime Factorization

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

2 x 5 x 39 x 149 x 212 x 977 x 41 = 493475001240

Therefore, the lowest common multiple of 195,149,424,977,410 is 493475001240.

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.

195 x 149 x 424 x 977 x 410 = 4934750012400

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

149 : 1, 149

424 : 1, 2, 4, 8, 53, 106, 212, 424

977 : 1, 977

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,149,424,977,410, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

149:149

424:2x 2x 2x 53

977:977

410:2x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 4934750012400/(1x10)

LCM = 4934750012400/10

LCM = 493475001240

Thus, we can understand that the LCM of 195,149,424,977,410 is 493475001240.

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

• LCM of 230, 940, 801, 958, 855
• LCM of 983, 519, 208, 617, 314
• LCM of 931, 737, 814, 734, 535
• LCM of 921, 836, 207, 716, 417
• LCM of 807, 864, 824, 638, 554

1. What is the LCM of 195, 149, 424, 977, 410?

Answer: LCM of 195, 149, 424, 977, 410 is 493475001240.

2. How to calculate the LCM of 195, 149, 424, 977, 410?

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 195, 149, 424, 977, 410.

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}.