Given numbers are 538,720,489,652,700

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

The LCM of 538,720,489,652,700 is 1104944400.

Find LCM of 538,720,489,652,700 with Prime Factorization

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

2 x 2 x 3 x 5 x 163 x 269 x 12 x 1 x 1 x 35 = 1104944400

Therefore, the lowest common multiple of 538,720,489,652,700 is 1104944400.

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.

538 x 720 x 489 x 652 x 700 = 86450849856000

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.

538 : 1, 2, 269, 538

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

489 : 1, 3, 163, 489

652 : 1, 2, 4, 163, 326, 652

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,720,489,652,700, is 1.

Now, the common factors can be found like this.

538:2x 269

720:2x 2x 2x 2x 3x 3x 5

489:3x 163

652:2x 2x 163

700:2x 2x 5x 5x 7

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 2x 3x 5x 163 = 78240

Therefore, the value for common factors is 78240.

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 = 86450849856000/(1x78240)

LCM = 86450849856000/78240

LCM = 1104944400

Thus, we can understand that the LCM of 538,720,489,652,700 is 1104944400.

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

• LCM of 483, 339, 868, 334, 456
• LCM of 849, 578, 150, 609, 339
• LCM of 808, 479, 655, 595, 153
• LCM of 296, 714, 773, 216, 480
• LCM of 349, 373, 795, 911, 416

1. What is the LCM of 538, 720, 489, 652, 700?

Answer: LCM of 538, 720, 489, 652, 700 is 1104944400.

2. How to calculate the LCM of 538, 720, 489, 652, 700?

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 538, 720, 489, 652, 700.

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}.