Given numbers are 290,700,125,600

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

The LCM of 290,700,125,600 is 609000.

Find LCM of 290,700,125,600 with Prime Factorization

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

2 x 2 x 5 x 5 x 29 x 7 x 5 x 6 = 609000

Therefore, the lowest common multiple of 290,700,125,600 is 609000.

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.

290 x 700 x 125 x 600 = 15225000000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

125 : 1, 5, 25, 125

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,700,125,600, is 5.

Now, the common factors can be found like this.

290:2x 5x 29

700:2x 2x 5x 5x 7

125:5x 5x 5

600:2x 2x 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 2x 5x 5x 5x 5 = 5000

Therefore, the value for common factors is 5000.

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 = 15225000000/(5x5000)

LCM = 15225000000/25000

LCM = 609000

Thus, we can understand that the LCM of 290,700,125,600 is 609000.

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

• LCM of 180, 506, 707, 400
• LCM of 215, 823, 829, 704
• LCM of 899, 641, 226, 316
• LCM of 725, 485, 855, 483
• LCM of 609, 488, 414, 581

1. What is the LCM of 290, 700, 125, 600?

Answer: LCM of 290, 700, 125, 600 is 609000.

2. How to calculate the LCM of 290, 700, 125, 600?

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 290, 700, 125, 600.

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}.