Given numbers are 485,480,138,350

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

The LCM of 485,480,138,350 is 37480800.

Find LCM of 485,480,138,350 with Prime Factorization

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

2 x 3 x 5 x 97 x 16 x 23 x 35 = 37480800

Therefore, the lowest common multiple of 485,480,138,350 is 37480800.

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.

485 x 480 x 138 x 350 = 11244240000

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.

485 : 1, 5, 97, 485

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,480,138,350, is 1.

Now, the common factors can be found like this.

485:5x 97

480:2x 2x 2x 2x 2x 3x 5

138:2x 3x 23

350:2x 5x 5x 7

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 11244240000/(1x300)

LCM = 11244240000/300

LCM = 37480800

Thus, we can understand that the LCM of 485,480,138,350 is 37480800.

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

• LCM of 886, 769, 325, 874
• LCM of 345, 223, 886, 822
• LCM of 696, 588, 355, 331
• LCM of 903, 792, 611, 927
• LCM of 953, 650, 835, 496

1. What is the LCM of 485, 480, 138, 350?

Answer: LCM of 485, 480, 138, 350 is 37480800.

2. How to calculate the LCM of 485, 480, 138, 350?

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 485, 480, 138, 350.

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}.