Given numbers are 438,124,828,586,228

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

The LCM of 438,124,828,586,228 is 10431244188.

Find LCM of 438,124,828,586,228 with Prime Factorization

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

2 x 2 x 3 x 73 x 31 x 69 x 293 x 19 = 10431244188

Therefore, the lowest common multiple of 438,124,828,586,228 is 10431244188.

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.

438 x 124 x 828 x 586 x 228 = 6008396652288

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

124 : 1, 2, 4, 31, 62, 124

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

586 : 1, 2, 293, 586

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,124,828,586,228, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

124:2x 2x 31

828:2x 2x 3x 3x 23

586:2x 293

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 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 = 6008396652288/(2x288)

LCM = 6008396652288/576

LCM = 10431244188

Thus, we can understand that the LCM of 438,124,828,586,228 is 10431244188.

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

• LCM of 915, 518, 275, 279, 226
• LCM of 146, 324, 705, 974, 659
• LCM of 288, 997, 492, 912, 520
• LCM of 687, 153, 498, 825, 755
• LCM of 656, 773, 590, 503, 916

1. What is the LCM of 438, 124, 828, 586, 228?

Answer: LCM of 438, 124, 828, 586, 228 is 10431244188.

2. How to calculate the LCM of 438, 124, 828, 586, 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 438, 124, 828, 586, 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}.