Given numbers are 740,461,450,566

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

The LCM of 740,461,450,566 is 4344417900.

Find LCM of 740,461,450,566 with Prime Factorization

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

2 x 5 x 74 x 461 x 45 x 283 = 4344417900

Therefore, the lowest common multiple of 740,461,450,566 is 4344417900.

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.

740 x 461 x 450 x 566 = 86888358000

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

461 : 1, 461

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,461,450,566, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

461:461

450:2x 3x 3x 5x 5

566:2x 283

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 5 = 20

Therefore, the value for common factors is 20.

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 = 86888358000/(1x20)

LCM = 86888358000/20

LCM = 4344417900

Thus, we can understand that the LCM of 740,461,450,566 is 4344417900.

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

• LCM of 801, 763, 393, 259
• LCM of 621, 353, 674, 126
• LCM of 834, 795, 132, 187
• LCM of 122, 355, 517, 602
• LCM of 425, 463, 350, 239

1. What is the LCM of 740, 461, 450, 566?

Answer: LCM of 740, 461, 450, 566 is 4344417900.

2. How to calculate the LCM of 740, 461, 450, 566?

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 740, 461, 450, 566.

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}.