Given numbers are 461,774,163,184,228

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

The LCM of 461,774,163,184,228 is 101664872136.

Find LCM of 461,774,163,184,228 with Prime Factorization

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

2 x 2 x 3 x 461 x 129 x 163 x 46 x 19 = 101664872136

Therefore, the lowest common multiple of 461,774,163,184,228 is 101664872136.

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.

461 x 774 x 163 x 184 x 228 = 2439956931264

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.

461 : 1, 461

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

163 : 1, 163

184 : 1, 2, 4, 8, 23, 46, 92, 184

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,774,163,184,228, is 1.

Now, the common factors can be found like this.

461:461

774:2x 3x 3x 43

163:163

184:2x 2x 2x 23

228:2x 2x 3x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2439956931264/(1x24)

LCM = 2439956931264/24

LCM = 101664872136

Thus, we can understand that the LCM of 461,774,163,184,228 is 101664872136.

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

• LCM of 333, 848, 517, 549, 332
• LCM of 606, 871, 663, 268, 184
• LCM of 379, 912, 798, 470, 816
• LCM of 142, 457, 780, 368, 683
• LCM of 142, 783, 286, 141, 413

1. What is the LCM of 461, 774, 163, 184, 228?

Answer: LCM of 461, 774, 163, 184, 228 is 101664872136.

2. How to calculate the LCM of 461, 774, 163, 184, 228?

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 461, 774, 163, 184, 228.

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}.