Given numbers are 446,574,760

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

The LCM of 446,574,760 is 48640760.

Find LCM of 446,574,760 with Prime Factorization

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

2 x 223 x 287 x 380 = 48640760

Therefore, the lowest common multiple of 446,574,760 is 48640760.

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.

446 x 574 x 760 = 194563040

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.

446 : 1, 2, 223, 446

574 : 1, 2, 7, 14, 41, 82, 287, 574

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,574,760, is 2.

Now, the common factors can be found like this.

446:2x 223

574:2x 7x 41

760:2x 2x 2x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 194563040/(2x2)

LCM = 194563040/4

LCM = 48640760

Thus, we can understand that the LCM of 446,574,760 is 48640760.

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

• LCM of 230, 966, 751
• LCM of 568, 788, 662
• LCM of 777, 922, 351
• LCM of 585, 576, 798
• LCM of 309, 406, 707

1. What is the LCM of 446, 574, 760?

Answer: LCM of 446, 574, 760 is 48640760.

2. How to calculate the LCM of 446, 574, 760?

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 446, 574, 760.

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}.