Given numbers are 544,168,552,614,102

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

The LCM of 544,168,552,614,102 is 80664864.

Find LCM of 544,168,552,614,102 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 4 x 7 x 23 x 307 x 1 = 80664864

Therefore, the lowest common multiple of 544,168,552,614,102 is 80664864.

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.

544 x 168 x 552 x 614 x 102 = 3159481393152

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

614 : 1, 2, 307, 614

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,168,552,614,102, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

168:2x 2x 2x 3x 7

552:2x 2x 2x 3x 23

614:2x 307

102:2x 3x 17

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 2x 2x 3x 3x 17 = 19584

Therefore, the value for common factors is 19584.

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 = 3159481393152/(2x19584)

LCM = 3159481393152/39168

LCM = 80664864

Thus, we can understand that the LCM of 544,168,552,614,102 is 80664864.

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

• LCM of 403, 808, 795, 413, 329
• LCM of 694, 850, 926, 182, 911
• LCM of 221, 529, 608, 685, 508
• LCM of 216, 618, 429, 268, 131
• LCM of 625, 730, 781, 370, 980

1. What is the LCM of 544, 168, 552, 614, 102?

Answer: LCM of 544, 168, 552, 614, 102 is 80664864.

2. How to calculate the LCM of 544, 168, 552, 614, 102?

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 544, 168, 552, 614, 102.

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}.