Given numbers are 393,492,528,759

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

The LCM of 393,492,528,759 is 65225424.

Find LCM of 393,492,528,759 with Prime Factorization

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

2 x 2 x 3 x 11 x 131 x 41 x 4 x 23 = 65225424

Therefore, the lowest common multiple of 393,492,528,759 is 65225424.

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.

393 x 492 x 528 x 759 = 77487803712

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.

393 : 1, 3, 131, 393

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,492,528,759, is 3.

Now, the common factors can be found like this.

393:3x 131

492:2x 2x 3x 41

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

759:3x 11x 23

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 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 77487803712/(3x396)

LCM = 77487803712/1188

LCM = 65225424

Thus, we can understand that the LCM of 393,492,528,759 is 65225424.

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

• LCM of 529, 845, 350, 323
• LCM of 264, 853, 558, 640
• LCM of 408, 555, 321, 492
• LCM of 870, 213, 439, 672
• LCM of 298, 922, 987, 130

1. What is the LCM of 393, 492, 528, 759?

Answer: LCM of 393, 492, 528, 759 is 65225424.

2. How to calculate the LCM of 393, 492, 528, 759?

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 393, 492, 528, 759.

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}.