Given numbers are 524,452,828,214

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

The LCM of 524,452,828,214 is 1311486588.

Find LCM of 524,452,828,214 with Prime Factorization

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

2 x 2 x 131 x 113 x 207 x 107 = 1311486588

Therefore, the lowest common multiple of 524,452,828,214 is 1311486588.

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.

524 x 452 x 828 x 214 = 41967570816

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.

524 : 1, 2, 4, 131, 262, 524

452 : 1, 2, 4, 113, 226, 452

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,452,828,214, is 2.

Now, the common factors can be found like this.

524:2x 2x 131

452:2x 2x 113

828:2x 2x 3x 3x 23

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 41967570816/(2x16)

LCM = 41967570816/32

LCM = 1311486588

Thus, we can understand that the LCM of 524,452,828,214 is 1311486588.

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

• LCM of 823, 583, 689, 243
• LCM of 937, 361, 913, 738
• LCM of 133, 788, 401, 861
• LCM of 783, 335, 670, 453
• LCM of 104, 333, 628, 136

1. What is the LCM of 524, 452, 828, 214?

Answer: LCM of 524, 452, 828, 214 is 1311486588.

2. How to calculate the LCM of 524, 452, 828, 214?

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 524, 452, 828, 214.

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}.