Given numbers are 516,554,560,544,224

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

The LCM of 516,554,560,544,224 is 680356320.

Find LCM of 516,554,560,544,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 7 x 129 x 277 x 5 x 17 x 1 = 680356320

Therefore, the lowest common multiple of 516,554,560,544,224 is 680356320.

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.

516 x 554 x 560 x 544 x 224 = 19507176407040

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

554 : 1, 2, 277, 554

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,554,560,544,224, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

554:2x 277

560:2x 2x 2x 2x 5x 7

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

224:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 7 = 14336

Therefore, the value for common factors is 14336.

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 = 19507176407040/(2x14336)

LCM = 19507176407040/28672

LCM = 680356320

Thus, we can understand that the LCM of 516,554,560,544,224 is 680356320.

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

• LCM of 761, 319, 682, 275, 673
• LCM of 153, 321, 122, 110, 714
• LCM of 871, 188, 419, 877, 758
• LCM of 899, 827, 413, 214, 285
• LCM of 764, 604, 496, 296, 111

1. What is the LCM of 516, 554, 560, 544, 224?

Answer: LCM of 516, 554, 560, 544, 224 is 680356320.

2. How to calculate the LCM of 516, 554, 560, 544, 224?

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 516, 554, 560, 544, 224.

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}.