Given numbers are 407,128,263,484

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

The LCM of 407,128,263,484 is 150713728.

Find LCM of 407,128,263,484 with Prime Factorization

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

2 x 2 x 11 x 37 x 32 x 263 x 11 = 150713728

Therefore, the lowest common multiple of 407,128,263,484 is 150713728.

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 128 x 263 x 484 = 6631404032

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

263 : 1, 263

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,128,263,484, is 1.

Now, the common factors can be found like this.

407:11x 37

128:2x 2x 2x 2x 2x 2x 2

263:263

484:2x 2x 11x 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 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 6631404032/(1x44)

LCM = 6631404032/44

LCM = 150713728

Thus, we can understand that the LCM of 407,128,263,484 is 150713728.

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

• LCM of 287, 817, 839, 520
• LCM of 177, 793, 715, 692
• LCM of 713, 743, 604, 136
• LCM of 523, 176, 481, 979
• LCM of 928, 147, 961, 532

1. What is the LCM of 407, 128, 263, 484?

Answer: LCM of 407, 128, 263, 484 is 150713728.

2. How to calculate the LCM of 407, 128, 263, 484?

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, 128, 263, 484.

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}.