Given numbers are 745,494,966

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

The LCM of 745,494,966 is 177758490.

Find LCM of 745,494,966 with Prime Factorization

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

2 x 745 x 247 x 483 = 177758490

Therefore, the lowest common multiple of 745,494,966 is 177758490.

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.

745 x 494 x 966 = 355516980

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.

745 : 1, 5, 149, 745

494 : 1, 2, 13, 19, 26, 38, 247, 494

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,494,966, is 1.

Now, the common factors can be found like this.

745:5x 149

494:2x 13x 19

966:2x 3x 7x 23

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 = 355516980/(1x2)

LCM = 355516980/2

LCM = 177758490

Thus, we can understand that the LCM of 745,494,966 is 177758490.

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

• LCM of 293, 819, 883
• LCM of 945, 276, 120
• LCM of 656, 811, 233
• LCM of 997, 928, 627
• LCM of 659, 156, 971

1. What is the LCM of 745, 494, 966?

Answer: LCM of 745, 494, 966 is 177758490.

2. How to calculate the LCM of 745, 494, 966?

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 745, 494, 966.

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}.