Given numbers are 326,252,570,924

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

The LCM of 326,252,570,924 is 42924420.

Find LCM of 326,252,570,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 163 x 3 x 95 x 11 = 42924420

Therefore, the lowest common multiple of 326,252,570,924 is 42924420.

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.

326 x 252 x 570 x 924 = 43267815360

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.

326 : 1, 2, 163, 326

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 326,252,570,924, is 2.

Now, the common factors can be found like this.

326:2x 163

252:2x 2x 3x 3x 7

570:2x 3x 5x 19

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 43267815360/(2x504)

LCM = 43267815360/1008

LCM = 42924420

Thus, we can understand that the LCM of 326,252,570,924 is 42924420.

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

• LCM of 622, 773, 490, 738
• LCM of 819, 614, 416, 589
• LCM of 338, 265, 819, 407
• LCM of 909, 937, 654, 534
• LCM of 545, 359, 322, 772

1. What is the LCM of 326, 252, 570, 924?

Answer: LCM of 326, 252, 570, 924 is 42924420.

2. How to calculate the LCM of 326, 252, 570, 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 326, 252, 570, 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}.