Given numbers are 526,442,714,924

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

The LCM of 526,442,714,924 is 53705652.

Find LCM of 526,442,714,924 with Prime Factorization

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

2 x 3 x 7 x 17 x 263 x 13 x 1 x 22 = 53705652

Therefore, the lowest common multiple of 526,442,714,924 is 53705652.

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.

526 x 442 x 714 x 924 = 153383342112

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.

526 : 1, 2, 263, 526

442 : 1, 2, 13, 17, 26, 34, 221, 442

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 526,442,714,924, is 2.

Now, the common factors can be found like this.

526:2x 263

442:2x 13x 17

714:2x 3x 7x 17

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 3x 7x 17 = 1428

Therefore, the value for common factors is 1428.

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 = 153383342112/(2x1428)

LCM = 153383342112/2856

LCM = 53705652

Thus, we can understand that the LCM of 526,442,714,924 is 53705652.

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

• LCM of 442, 712, 451, 182
• LCM of 673, 882, 447, 620
• LCM of 814, 667, 561, 992
• LCM of 265, 599, 354, 426
• LCM of 205, 197, 439, 579

1. What is the LCM of 526, 442, 714, 924?

Answer: LCM of 526, 442, 714, 924 is 53705652.

2. How to calculate the LCM of 526, 442, 714, 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 526, 442, 714, 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}.