Given numbers are 438,250,166,746,138

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

The LCM of 438,250,166,746,138 is 38985120750.

Find LCM of 438,250,166,746,138 with Prime Factorization

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

2 x 3 x 73 x 125 x 83 x 373 x 23 = 38985120750

Therefore, the lowest common multiple of 438,250,166,746,138 is 38985120750.

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 250 x 166 x 746 x 138 = 1871285796000

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

166 : 1, 2, 83, 166

746 : 1, 2, 373, 746

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,250,166,746,138, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

250:2x 5x 5x 5

166:2x 83

746:2x 373

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 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 = 1871285796000/(2x24)

LCM = 1871285796000/48

LCM = 38985120750

Thus, we can understand that the LCM of 438,250,166,746,138 is 38985120750.

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

• LCM of 132, 832, 323, 202, 730
• LCM of 734, 292, 300, 132, 807
• LCM of 605, 557, 250, 918, 737
• LCM of 707, 872, 325, 412, 341
• LCM of 655, 256, 934, 619, 565

1. What is the LCM of 438, 250, 166, 746, 138?

Answer: LCM of 438, 250, 166, 746, 138 is 38985120750.

2. How to calculate the LCM of 438, 250, 166, 746, 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 438, 250, 166, 746, 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}.