Given numbers are 820,240,140,197,580

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

The LCM of 820,240,140,197,580 is 393511440.

Find LCM of 820,240,140,197,580 with Prime Factorization

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

2 x 2 x 5 x 41 x 12 x 7 x 197 x 29 = 393511440

Therefore, the lowest common multiple of 820,240,140,197,580 is 393511440.

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.

820 x 240 x 140 x 197 x 580 = 3148091520000

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

197 : 1, 197

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,240,140,197,580, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

240:2x 2x 2x 2x 3x 5

140:2x 2x 5x 7

197:197

580:2x 2x 5x 29

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 2x 5x 5x 5 = 8000

Therefore, the value for common factors is 8000.

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 = 3148091520000/(1x8000)

LCM = 3148091520000/8000

LCM = 393511440

Thus, we can understand that the LCM of 820,240,140,197,580 is 393511440.

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

• LCM of 414, 449, 838, 268, 398
• LCM of 539, 619, 602, 945, 571
• LCM of 753, 995, 428, 136, 252
• LCM of 767, 589, 464, 947, 225
• LCM of 461, 941, 666, 291, 973

1. What is the LCM of 820, 240, 140, 197, 580?

Answer: LCM of 820, 240, 140, 197, 580 is 393511440.

2. How to calculate the LCM of 820, 240, 140, 197, 580?

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 820, 240, 140, 197, 580.

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}.