Given numbers are 438,728,465,671,150

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

The LCM of 438,728,465,671,150 is 82908625800.

Find LCM of 438,728,465,671,150 with Prime Factorization

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

2 x 3 x 5 x 73 x 364 x 31 x 671 x 5 = 82908625800

Therefore, the lowest common multiple of 438,728,465,671,150 is 82908625800.

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 728 x 465 x 671 x 150 = 14923552644000

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

465 : 1, 3, 5, 15, 31, 93, 155, 465

671 : 1, 11, 61, 671

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,728,465,671,150, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

728:2x 2x 2x 7x 13

465:3x 5x 31

671:11x 61

150:2x 3x 5x 5

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 14923552644000/(1x180)

LCM = 14923552644000/180

LCM = 82908625800

Thus, we can understand that the LCM of 438,728,465,671,150 is 82908625800.

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

• LCM of 543, 113, 877, 248, 196
• LCM of 567, 573, 412, 338, 598
• LCM of 300, 616, 470, 978, 249
• LCM of 803, 940, 537, 596, 829
• LCM of 247, 686, 306, 456, 263

1. What is the LCM of 438, 728, 465, 671, 150?

Answer: LCM of 438, 728, 465, 671, 150 is 82908625800.

2. How to calculate the LCM of 438, 728, 465, 671, 150?

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, 728, 465, 671, 150.

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}.