Given numbers are 453,256,471,578

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

The LCM of 453,256,471,578 is 5261816064.

Find LCM of 453,256,471,578 with Prime Factorization

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

2 x 3 x 151 x 128 x 157 x 289 = 5261816064

Therefore, the lowest common multiple of 453,256,471,578 is 5261816064.

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.

453 x 256 x 471 x 578 = 31570896384

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.

453 : 1, 3, 151, 453

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

471 : 1, 3, 157, 471

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,256,471,578, is 1.

Now, the common factors can be found like this.

453:3x 151

256:2x 2x 2x 2x 2x 2x 2x 2

471:3x 157

578:2x 17x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31570896384/(1x6)

LCM = 31570896384/6

LCM = 5261816064

Thus, we can understand that the LCM of 453,256,471,578 is 5261816064.

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

• LCM of 666, 630, 666, 163
• LCM of 640, 451, 587, 123
• LCM of 146, 429, 815, 914
• LCM of 896, 553, 942, 536
• LCM of 215, 320, 370, 526

1. What is the LCM of 453, 256, 471, 578?

Answer: LCM of 453, 256, 471, 578 is 5261816064.

2. How to calculate the LCM of 453, 256, 471, 578?

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 453, 256, 471, 578.

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}.