Given numbers are 745,456,350,409

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

The LCM of 745,456,350,409 is 4863091800.

Find LCM of 745,456,350,409 with Prime Factorization

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

2 x 5 x 149 x 228 x 35 x 409 = 4863091800

Therefore, the lowest common multiple of 745,456,350,409 is 4863091800.

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 456 x 350 x 409 = 48630918000

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

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,456,350,409, is 1.

Now, the common factors can be found like this.

745:5x 149

456:2x 2x 2x 3x 19

350:2x 5x 5x 7

409:409

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 48630918000/(1x10)

LCM = 48630918000/10

LCM = 4863091800

Thus, we can understand that the LCM of 745,456,350,409 is 4863091800.

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

• LCM of 173, 324, 113, 988
• LCM of 571, 299, 389, 810
• LCM of 501, 223, 937, 990
• LCM of 381, 835, 987, 736
• LCM of 810, 389, 758, 914

1. What is the LCM of 745, 456, 350, 409?

Answer: LCM of 745, 456, 350, 409 is 4863091800.

2. How to calculate the LCM of 745, 456, 350, 409?

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, 456, 350, 409.

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}.