Given numbers are 198,596,118,417

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

The LCM of 198,596,118,417 is 483891804.

Find LCM of 198,596,118,417 with Prime Factorization

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

2 x 3 x 33 x 298 x 59 x 139 = 483891804

Therefore, the lowest common multiple of 198,596,118,417 is 483891804.

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.

198 x 596 x 118 x 417 = 5806701648

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

596 : 1, 2, 4, 149, 298, 596

118 : 1, 2, 59, 118

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,596,118,417, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

596:2x 2x 149

118:2x 59

417:3x 139

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5806701648/(1x12)

LCM = 5806701648/12

LCM = 483891804

Thus, we can understand that the LCM of 198,596,118,417 is 483891804.

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

• LCM of 858, 609, 933, 809
• LCM of 464, 570, 233, 380
• LCM of 565, 951, 619, 262
• LCM of 999, 330, 819, 693
• LCM of 839, 273, 476, 128

1. What is the LCM of 198, 596, 118, 417?

Answer: LCM of 198, 596, 118, 417 is 483891804.

2. How to calculate the LCM of 198, 596, 118, 417?

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 198, 596, 118, 417.

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}.