Given numbers are 464,468,228,739,138

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

The LCM of 464,468,228,739,138 is 17531929584.

Find LCM of 464,468,228,739,138 with Prime Factorization

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

2 x 2 x 3 x 116 x 39 x 19 x 739 x 23 = 17531929584

Therefore, the lowest common multiple of 464,468,228,739,138 is 17531929584.

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.

464 x 468 x 228 x 739 x 138 = 5049195720192

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

739 : 1, 739

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,468,228,739,138, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

468:2x 2x 3x 3x 13

228:2x 2x 3x 19

739:739

138:2x 3x 23

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 5049195720192/(1x288)

LCM = 5049195720192/288

LCM = 17531929584

Thus, we can understand that the LCM of 464,468,228,739,138 is 17531929584.

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

• LCM of 925, 714, 760, 385, 265
• LCM of 292, 580, 634, 778, 248
• LCM of 251, 265, 880, 184, 503
• LCM of 400, 210, 822, 578, 185
• LCM of 494, 397, 832, 334, 310

1. What is the LCM of 464, 468, 228, 739, 138?

Answer: LCM of 464, 468, 228, 739, 138 is 17531929584.

2. How to calculate the LCM of 464, 468, 228, 739, 138?

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 464, 468, 228, 739, 138.

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}.