Given numbers are 28,64,46,97,409

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

The LCM of 28,64,46,97,409 is 408790592.

Find LCM of 28,64,46,97,409 with Prime Factorization

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

2 x 2 x 7 x 16 x 23 x 97 x 409 = 408790592

Therefore, the lowest common multiple of 28,64,46,97,409 is 408790592.

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.

28 x 64 x 46 x 97 x 409 = 3270324736

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.

28 : 1, 2, 4, 7, 14, 28

64 : 1, 2, 4, 8, 16, 32, 64

46 : 1, 2, 23, 46

97 : 1, 97

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 28,64,46,97,409, is 1.

Now, the common factors can be found like this.

28:2x 2x 7

64:2x 2x 2x 2x 2x 2

46:2x 23

97:97

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 3270324736/(1x8)

LCM = 3270324736/8

LCM = 408790592

Thus, we can understand that the LCM of 28,64,46,97,409 is 408790592.

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

• LCM of 79, 54, 67, 97, 356
• LCM of 60, 65, 78, 41, 300
• LCM of 61, 68, 65, 33, 514
• LCM of 32, 70, 42, 34, 890
• LCM of 41, 87, 57, 42, 127

1. What is the LCM of 28, 64, 46, 97, 409?

Answer: LCM of 28, 64, 46, 97, 409 is 408790592.

2. How to calculate the LCM of 28, 64, 46, 97, 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 28, 64, 46, 97, 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}.