Given numbers are 564,720,234,652,246

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

The LCM of 564,720,234,652,246 is 2939985360.

Find LCM of 564,720,234,652,246 with Prime Factorization

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

2 x 2 x 3 x 3 x 47 x 20 x 13 x 163 x 41 = 2939985360

Therefore, the lowest common multiple of 564,720,234,652,246 is 2939985360.

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.

564 x 720 x 234 x 652 x 246 = 15240884106240

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,720,234,652,246, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

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

234:2x 3x 3x 13

652:2x 2x 163

246:2x 3x 41

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 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 15240884106240/(2x2592)

LCM = 15240884106240/5184

LCM = 2939985360

Thus, we can understand that the LCM of 564,720,234,652,246 is 2939985360.

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

• LCM of 287, 656, 287, 294, 349
• LCM of 293, 877, 350, 432, 696
• LCM of 144, 698, 610, 550, 115
• LCM of 318, 927, 796, 347, 529
• LCM of 647, 672, 930, 575, 414

1. What is the LCM of 564, 720, 234, 652, 246?

Answer: LCM of 564, 720, 234, 652, 246 is 2939985360.

2. How to calculate the LCM of 564, 720, 234, 652, 246?

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 564, 720, 234, 652, 246.

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}.