Given numbers are 407,456,110

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

The LCM of 407,456,110 is 927960.

Find LCM of 407,456,110 with Prime Factorization

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

2 x 11 x 37 x 228 x 5 = 927960

Therefore, the lowest common multiple of 407,456,110 is 927960.

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.

407 x 456 x 110 = 20415120

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.

407 : 1, 11, 37, 407

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,456,110, is 1.

Now, the common factors can be found like this.

407:11x 37

456:2x 2x 2x 3x 19

110:2x 5x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 20415120/(1x22)

LCM = 20415120/22

LCM = 927960

Thus, we can understand that the LCM of 407,456,110 is 927960.

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

• LCM of 843, 466, 631
• LCM of 647, 558, 602
• LCM of 568, 438, 680
• LCM of 439, 473, 382
• LCM of 809, 958, 793

1. What is the LCM of 407, 456, 110?

Answer: LCM of 407, 456, 110 is 927960.

2. How to calculate the LCM of 407, 456, 110?

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 407, 456, 110.

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}.