Given numbers are 264,374,176,404

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

The LCM of 264,374,176,404 is 906576.

Find LCM of 264,374,176,404 with Prime Factorization

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

2 x 2 x 2 x 11 x 3 x 17 x 2 x 101 = 906576

Therefore, the lowest common multiple of 264,374,176,404 is 906576.

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.

264 x 374 x 176 x 404 = 7020524544

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

374 : 1, 2, 11, 17, 22, 34, 187, 374

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

404 : 1, 2, 4, 101, 202, 404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,374,176,404, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

374:2x 11x 17

176:2x 2x 2x 2x 11

404:2x 2x 101

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 2x 2x 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 7020524544/(2x3872)

LCM = 7020524544/7744

LCM = 906576

Thus, we can understand that the LCM of 264,374,176,404 is 906576.

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

• LCM of 248, 383, 597, 623
• LCM of 429, 587, 280, 514
• LCM of 123, 556, 744, 325
• LCM of 653, 630, 197, 512
• LCM of 446, 133, 565, 960

1. What is the LCM of 264, 374, 176, 404?

Answer: LCM of 264, 374, 176, 404 is 906576.

2. How to calculate the LCM of 264, 374, 176, 404?

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 264, 374, 176, 404.

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}.