Given numbers are 528,268,762,924

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

The LCM of 528,268,762,924 is 31449264.

Find LCM of 528,268,762,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 67 x 127 x 7 = 31449264

Therefore, the lowest common multiple of 528,268,762,924 is 31449264.

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.

528 x 268 x 762 x 924 = 99631268352

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

268 : 1, 2, 4, 67, 134, 268

762 : 1, 2, 3, 6, 127, 254, 381, 762

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,268,762,924, is 2.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

268:2x 2x 67

762:2x 3x 127

924:2x 2x 3x 7x 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 2x 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 99631268352/(2x1584)

LCM = 99631268352/3168

LCM = 31449264

Thus, we can understand that the LCM of 528,268,762,924 is 31449264.

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

• LCM of 590, 827, 391, 741
• LCM of 821, 965, 202, 673
• LCM of 277, 551, 418, 954
• LCM of 227, 165, 621, 339
• LCM of 155, 407, 588, 321

1. What is the LCM of 528, 268, 762, 924?

Answer: LCM of 528, 268, 762, 924 is 31449264.

2. How to calculate the LCM of 528, 268, 762, 924?

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 528, 268, 762, 924.

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}.