Given numbers are 679,498,330,126,728

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

The LCM of 679,498,330,126,728 is 2901258360.

Find LCM of 679,498,330,126,728 with Prime Factorization

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

2 x 3 x 7 x 97 x 83 x 55 x 3 x 52 = 2901258360

Therefore, the lowest common multiple of 679,498,330,126,728 is 2901258360.

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.

679 x 498 x 330 x 126 x 728 = 10235639494080

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.

679 : 1, 7, 97, 679

498 : 1, 2, 3, 6, 83, 166, 249, 498

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,498,330,126,728, is 1.

Now, the common factors can be found like this.

679:7x 97

498:2x 3x 83

330:2x 3x 5x 11

126:2x 3x 3x 7

728:2x 2x 2x 7x 13

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 10235639494080/(1x3528)

LCM = 10235639494080/3528

LCM = 2901258360

Thus, we can understand that the LCM of 679,498,330,126,728 is 2901258360.

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

• LCM of 547, 323, 156, 312, 401
• LCM of 759, 351, 338, 795, 908
• LCM of 203, 779, 778, 576, 339
• LCM of 821, 756, 884, 203, 651
• LCM of 274, 533, 292, 367, 943

1. What is the LCM of 679, 498, 330, 126, 728?

Answer: LCM of 679, 498, 330, 126, 728 is 2901258360.

2. How to calculate the LCM of 679, 498, 330, 126, 728?

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 679, 498, 330, 126, 728.

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}.