Given numbers are 164,464,365,407

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

The LCM of 164,464,365,407 is 2826110320.

Find LCM of 164,464,365,407 with Prime Factorization

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

2 x 2 x 41 x 116 x 365 x 407 = 2826110320

Therefore, the lowest common multiple of 164,464,365,407 is 2826110320.

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.

164 x 464 x 365 x 407 = 11304441280

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.

164 : 1, 2, 4, 41, 82, 164

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

365 : 1, 5, 73, 365

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,464,365,407, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

464:2x 2x 2x 2x 29

365:5x 73

407:11x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11304441280/(1x4)

LCM = 11304441280/4

LCM = 2826110320

Thus, we can understand that the LCM of 164,464,365,407 is 2826110320.

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

• LCM of 856, 435, 392, 253
• LCM of 815, 623, 335, 600
• LCM of 738, 422, 679, 751
• LCM of 450, 833, 523, 719
• LCM of 185, 570, 667, 921

1. What is the LCM of 164, 464, 365, 407?

Answer: LCM of 164, 464, 365, 407 is 2826110320.

2. How to calculate the LCM of 164, 464, 365, 407?

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 164, 464, 365, 407.

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}.